CURRICULUM VITAE Nikolaos S. Papageorgiou

Size: px
Start display at page:

Download "CURRICULUM VITAE Nikolaos S. Papageorgiou"

Transcription

1 CURRICULUM VITAE Nikolaos S. Papageorgiou 1 Personal Data Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece _ Position: Professor, National Technical University, Athens, Greece. 2 Education: _ September June 1980: Undergraduate Studies at Massachusetts Institute of Technology (MIT), USA: { B.S. Electrical Engineering (June 1980); { B.S. Mathematics (June 1980). _ September June 1983: Graduate Studies (Fellowship) at Harvard University: { Ph.D Applied Mathematics (February 4, 1983) 1 3 Positions: _ September July 1986: Assistant Professor - Department of Mathematics, University of Illinois, Urbana, USA _ August July 1990: Associate Professor - Department of Mathematics, University of California at Davis, USA _ August July 1995: Professor - Department of Mathematics, Florida Institute of Technology, Melbourne, Urbana, USA. _ August Present: Professor - Department of Mathematical and Physical Sciences, National Technical Univ. of Athens (NTUA), GREECE. 4 Visiting Positions: _ April - June 1985: Department of Mathematics, University of Pavia, Italy. _ May - June 1986: Department of Mathematics, University of Toulouse III, France. _ January - March 1993: Department of Mathematics, University of Florence, Italy. _ May 1994, 1995, 1997, 1998, 1999, 2009: Department of Mathematics, University of Perugia, Italy. _ September 2000, 2002 May 2005, December 2006: Department of Mathematics, University of Ancona, Italy. _ April and September 2005: Department of Mathematics, University of Aveiro, Portugal. _ March 2006: Department of Mathematics, University of Perpignan, France. _ January to July 2007: Department of Mathematics, University of Aveiro, Portugal. _ March 2009, 2011: Department of Mathematics, University of Perpignan, France. 5 Ph. D. Students: _ D. Kandilakis - University of Illinois, May 1985 ( now Associate Professor at the Technical University of Crete, Greece); _ N. Kourogenis - NTUA, Septrmber 1999 ( now Assistant Professor at the University of Piraeus, Greece); _ N. Yannakakis - NTUA, May 2001 ( now Assistant Professor at the NTUA, Greece);

2 _ N. Halidias - NTUA, October 2001 ( now Assistant Professor at the University of Aegean, Greece); _ N. Matzakos - NTUA, May 2002 ( now Assistant Professor at the Technological Institute of Athens, Greece); _ E. Papageorgiou - NTUA, February 2003 ( now Assistant Professor at the Naval Academy of Greece); 2 _ S. Kyritsi - NTUA, December 2003 ( now Assistant Professor at the Naval Academy of Greece); _ M. Filippakis - NTUA, December 2006 ( now Assistant Professor at the University of Piraeus, Greece); _ S. A, Santos-University of Aveiro, Portugal, November _ S. A, Santos-University of Aveiro, Portugal, in progress. 6 Courses _ Di_erential Equations; _ Analysis I (one variable); _ Analysis II (several variables); _ Functional Analysis II; _ Nonlinear Analysis; _ Topics in Analysis. 7 Invitations _ Invited to give Colloquium talks at: { University of British Columbia, Canada; { Georgia Institute of Technology, USA; { University of California at Riverside, USA; { University of Modena, Italy; { University of Pau, France; { Andhra Pradesh University, India; { Humboldt University of Berlin, Germany; { University of Aveiro, Portugal. { University of Lisbon, Portugal. { University of Porto, Portugal. { University of South Florida, USA. { University of Ohio, USA. { Misouri State University, USA. _ Invited speaker to several international conferences. 3 8 Member of Editorial Boards _ Journal of Applied Mathematics and Stochastic Analysis ( ); _ Discussiones Mathematicae - Di_erential Inclusions, Optimal Control, Optimization; _ Nonlinear World ( ); _ Nonlinear Studies ( ); _ Mathematical Problems in Engineering ( ); _ Discrete and Continuous Dynamical Systems; _ Abstract and Applied Analysis _ Journal of Inequalities and Applications ( ); _ Nonlinear Analysis TMA ( ); _ International Jour. of Dynamical Systems and Di_erential Equations

3 9 Publications: 9.1 Books 1. (with S. Hu):\Hanbook of Multivalued Analysis. Volume I: Theory", Kluwer, Dordrecht (1997). 2. (with S. Hu):\Hanbook of Multivalued Analysis. Volume II: Applications", Kluwer, Dordrecht (2000). 3. (with Z. Denkowski{S. Mig_orski): \An Introduction to Nonlinear Analysis: Theory", Kluwer/Plenum, New York (2003). 4. (with Z. Denkowski{S. Mig_orski): \An Introduction to Nonlinear Analysis: Applications", Kluwer/Plenum, New York (2003). 5. (with L. Gasi_nski): \Nonlinear Analysis", Chapman and Hall/CRC, Boca Raton (2006). 6. (with L. Gasi_nski):\Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems", Chapman and Hall/CRC, Boca Raton (2005). 7. (with S. Th. Kyritsi):\Handbook of Applied Analysis", Springer-Verlag, New York (2009). 8. (with D. Motreanu{V. V. Motreanu):\Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems", Springer-to appear. 9.2 Papers Selected 370 Publications: 1. \Fixed point theorems for multifunctions in metric and vector spaces", Nonlin. Analysis, 7 (1983), 763{ \Nonsmooth analysis on partially ordered vector spaces. Part 2: Nonconvex case, Clarke's theory", Paci_c J. Math., 109 (1983), 463{ \Random _xed point theorems for multifunctions", Japonica, 29 (1984), 93{ \On the theory of Banach space valued multifunctions; Part 1: Integration and conditional expectation", J. Multiv. Anal., 17 (1985), 185{ \Representation of set-valued operators", Trans. AMS, 292 (1985), 557{ \Pareto e_ciency in locally convex spaces I", Numer. Funct. Anal. Optim., 8 (1985), 83{ \Pareto e_ciency in locally convex spaces II: Stability results", Numer. Funct. Anal. Optim., 8 (1985), 117{ \A stability result for di_erential inclusions in Banach spaces", J. Math. Anal. Appl., 118 (1986), 231{ \Random _xed point theorems for measurable multifunctions in Banach spaces", Proc. AMS, 97 (1986), 507{ \Integral functionals in Souslin locally convex spaces", J. Math. Anal. Appl., 113 (1986), 544{ \Flow invariance and viability for di_erential inclusions", Appl. Anal., 21 (1986), 235{ \A stability result for di_erential inclusions in Banach spaces", J. Math. Anal. Appl., 118 (1986), 232{ \On the e_ciency and optimality of allocations II", SIAM J. Control Optim., 24 (1986), 452{ \E_ciency and optimality in economies described by coalitions", J. Math. Anal. Appl., 116 (1986), 497{ \Convergence theorems for Banach space valued integrable multifunctions", Intern. J. Math. Sci., 10 (1987), 433{ \On multivalued evolution equations and di_erential inclusions in Banach spaces", Comm. Math.

4 Univ. S.P., 36 (1987), 27{ \A relaxation theorem for di_erential inclusions in Banach spaces", T^ohoku Math. Jour., 39 (1987), 505{ \On quasilinear di_erential inclusions in Banach spaces", Bull. Polish Acad. Sci., 35 (1987), 407{ \On the solution set of di_erential inclusions in Banach spaces", Appl. Anal., 25 (1987), 319{ \Contributions to the theory of set-valued functions and set-valued measures", Trans. AMS, 304 (1987), 245{ \On the attainable set of di_erential inclusions and control systems ", J. Math. Anal. Appl., 125 (1987), 305{ \On Cesari's property Q", J. Optim. Theory Appl., 53 (1987), 259{ \On measurable multifunctions with applications to random multivalued equations", Math. Japonica, 32 (1987), 437{ \On Cournot-Nash equilibria in generalized games with a continuum of players" (with M. A. Khan), Nonlin. Anal., 11 (1987), 741{ \Cournot-Nash equilibria in generalized qualitative games with an atomless measure space of agents" (with M. A. Khan), Proc. AMS, 100 (1987), 505{ \Convergence in approxiamtion and nonsmooth analysis" (with D. Kandilakis), J. Approx. Theory, 49 (1987), 41{ \A convergence theorem for set-valued supermartingales with values in a separable Banach space", Stoch. Math. Anal. Appl., 4 (1987), 405{ \Convergence and approximation results for measurable multifunctions" (with R. Lucchetti, F. Patrone), Proceedings AMS, 100 (1987), 551{ \Decomposable sets in the Lebesgue-Bochner spaces", Comm. Math. Univ. S. P., 37 (1988), 49{ \Viable and periodic trajectories for di_erential inclusions of neutral type in Banach spaces", Kobe Jour. Math., 5 (1988), 29{ \On bounded solutions of di_erential inclusions in Banach spaces", J. Math. Anal. Appl., 135 (1988), 29{ \Volterra integral inclusions in Banach spaces", J. Integral Eqns, 1 (1988), 65{ \Existence and convergence results for integral inclusions in Banach spaces", J. Integral Eqns, 1 (1988), 265{ \Integrals of families of vector-valued functions", Tamkang J. Math., 19 (1988), 65{ \Measurable multifunctions and their applications to convex integral functionals", Intern. J. Math. Math. Sci., 12 (1989), 175{ \Viable solutions for evolution inclusions" (with E. Avgerinos), Yokohama Math. Jour., 37 (1989), 101{ \Properties of the relaxed trajectories of evolution equations and optimal control ", SIAM J. Control Optim., 27 (1989), 267{288.

5 38. \Functional-di_erential inclusions in Banach spaces with nonconvex right-hand side", Funkc. Ekvacioj, 32 (1989), 145{ \On the properties of the Aumann integral with applications to di_erential inclusions and control systems" (with D. Kandilakis), Czech. Math. Jour., 39 (1989), 1{ \Nonconvex perturbations of evolution equations with m-dissipative operator in Banach spaces" (with E. Avgerinos), Comm. Univ. Carol., 80 (1989), 657{ \Relaxation of in_nite dimensional variational and control problems with state constraints", Kodai Math. Jour., 12 (1989), 392{ \On the solution set of di_erential inclusions with state constraints", Appl. Anal., 31 (1989), 279{ \On multivalued semilinear evolution equations", Boll. UMI, 3-B (1989), 1{ \Boundary value problems for evolution inclusions", Ann. Polonici Math., Vol. 50 (1989), 129{ \Existence of solutions for integral inclusions of Urysohn-type with nonconvex valued orientor _eld", J. Optim. Theory Appl., 64 (1990), 207{ \Optimal control for nonlinear evolution inclusions", J. Optim. Theory Appl., 67 (1990), 321{ \Pareto optimality for in_nite dimensional control systems" (with E. Avgerinos), Intern. J. Math. and Math. Sci., 13 (1990), 1{ \On in_nite dimensional control systems with state and control constraints", Proc. Indian Acad. Sci., 100 (1990), 65{ \Weak convergence and weak compactness for multifunctions with values in a separable Banach space", Proc. AMS, 109 (1990), 677{ \On a paper by Khan and Majumdar", J. Math. Anal. Appl., 150 (1990), 574{ \On transition multimeasures with values in a Banach space", Studia Mathematica, 97 (1990), 37{ \Convergence and representation theorems for set-valued random processes", J. Math. Anal. Appl., 150 (1990), 129{ \Properties of the trajectories of set-valued integrals in Banach spaces", Bull. Austr. Math. Soc., 41 (1990), 271{ \Sensitivity analysis of evolution inclusions and its applications to the variational stability of optimal control problems", Houston J. Math., 16 (1990), 509{ \Optimal control and relaxation for a class of nonlinear distributed parameter systems" (with E. Averginos), Osaka Journ. of Math., 27 (1990), 745{ \Optimality conditions for systems with insu_cient data" (with A. Papageorgiou), J. Math. Soc. Japan, 42 (1990), 387{ \Relaxation and existence of optimal controls for systems governed by evolution inclusions in separable Banach spaces", J. Optim. Theory Appl., 64 (1990), 573{ \On the sensitivity and relaxability of optimal control problems governed by nonlinear evolution equations with state constraints" (with E. Avgerinos), Monatsshefte f ur Math., 109 (1990), 1{ \Nonconvex and nonmonotone perturbations of evolution inclusions of subdi_erential type", Periodica Math. Hungarica, 21 (1990), 167{ \On evolution inclusions associated with time-dependent convex subdi_erentials", Comm. Math. Univ. Carol., 31 (1990), 517{527.

6 61. \Radon-Nikodym theorems for multimeasures and transition multimeasures", Proceedings of the AMS, 111 (1991), 465{ \A convergence result for a sequence of distributed parameter optimal control problems", J. Optim. Theory Appl., 43 (1991), 29{ \Relaxability and well-posedness or in_nite dimensional control problems", Problems of Control and Inform. Theory, 20 (1991), 203{ \On the optimal control and relaxation of _nite dimensional systems driven by maximal monotone di_erential inclusions", Problems of Control and Inform. Theory, 20 (1991), 245{ \Volterra integrodi_erential inclusions in reexive Banach spaces", Funkc. Ekvacioj, 34 (1991), 257{ \Nonlinear Volterra integrodi_erential evolution inclusions and optimal control", Kodai Math. Jour., 14 (1991), 254{ \Existence of solutions for integrodi_erential inclusions in Banach spaces", Comm. Math. Univ. Carol., 32 (1991), 687{ \On the relation between relaxability and performance stability for optimal control systems governed by nonlinear evolution equations", Intern. Jour. Systems Sci., 22 (1991), 237{ \Existence of optimal controls for a class of nonlinear distributed parameter systems", Bull. Australian Math. Soc., 111 (1991), 465{ \Maximal control of maximal monotone di_erential inclusions in RN", Intern. Jour. Systems Sci., 23 (1992), 2253{ \On the optimal control of strongly nonlinear evolution equations", Appl. Math. Comput., 48 (1992), 177{ \On U(_)-invariance for _nite and in_nite dimensional control systems" (with E. Avgerinos, E. Flytzanis), Acta Math. Hung., 59 (1992), 309{ \Properties of the solution set of evolution inclusions driven by time-dependent subdi_erentials", Comm. Math. Univ. Carol., 33 (1992), 197{ \Extremal solutions to a class of multivalued integral inclusions" (with S. Aizicovici), J. Appl. Math. Stoch. Anal., 5 (1992), 205{ \Extremal solutions of evolution inclusions with time dependent convex subdi_erentials", Math. Nachr., 158 (1992), 219{ \On the solution set of a class of nonlinear evolution inclusions", Kodai Math. Jour., 15 (1992), 387{ \Continuous dependence results for a class of evolution inclusions", Proc. Edinburgh Math. Soc., 35 (1992), 139{ \On the solution set of evolution inclusions driven by time-dependent subdi_erentials", Math. Japonica, 37 (1992), 1087{ \Minimization of nonsmooth integral functionals" (with A. S. Papageorgiou), Intern. J. Math. & Math. Sci., 15 (1992), 673{ \Optimal control and relaxation of nonlinear elliptic systems", Monats. f ur Math., 114 (1992), 209{ \Integral inclusions of Volterra type in Banach spaces", Czech. Math. Jour., 42 (1992), 693{714.

7 8 82. \A viability result for nonlinear time-dependent evolution inclusions", Yokohama Math. Jour., 40 (1992), 73{ \On the existence of weakly maximal programs for a multisector economy with consumption", Intern. Jour. Systems Sci., 23 (1992), 2253{ \On the properties of multimeasures with values in a Banach space", Comm. Math., 32 (1992), 111{ \Fixed points and best approximations for measurable multifunctions with stochastic domain", Tamkang J. Anal. Appl., 23 (1992), 197{ \Convergence theorems for set-valued martingales and semimartingales", Analysis Math., 18 (1992), 283{ \Weak convergence of random sets in Banach spaces", J. Math. Anal. Appl., 164 (1992), 571{ \Optimal control of nonlinear evolution equations with nonmonotone nonlinearities", J. Optim. Theory Appl., 77 (1993), 643{ \On the bang-bang principle for nonlinear evolution inclusions", Aequationes Math., 45 (1993), 267{ \Optimal control, sensitivity analysis and relaxation of maximal integrodi_erential inclusions in RN", Periodica Math. Hugarica, 27 (1993), 163{ \Multivalued Volterra integral equations in Banach spaces" (with S. Aizicovici), Funkc. Ekvacioj, 36 (1993), 275{ \A property of nonlinear evolution inclusions with state constraints", Math. Japonica, 38 (1993), 559{ \In_nite dimensional parametric optimal control problems" (with S. Aizicovici), Math. Nachr., 162 (1993), 17{ \Convexity of the orientor _eld and the solution set of a class of evolution inclusions", Math. Slovaca, 43 (1993), 593{ \On the properties of the solution set of nonconvex evolution inclusions of the subdi_erential maximal type", Comm. Math. Univ. Carol., 34 (1993), 673{ \On the existence of weakly maximal optimal stationary programs for an in_nite dimensional growth model", Rend. Circolo Mathem. Palermo, 42 (1993), 20{ \continuous dependence results for subdi_erential evolution inclusions", Zeitschrift f ur Anal. Anwend., 12 (1993), 137{ \Time-optimal control for in_nite dimensional linear systems", Indian J. Pure Appl. Math., 24 (1993), 155{ \Convergence theorems for set-valued conditional expectations", Comm. Math. Univ. Carol., 34 (1993), 97{ \Weakly maximal stationary programs for a discrete time stochastic growth model" (with G. Pantelides), Japan Jour. Indust. Appl. Math., 10 (1993), 471{ \On the existence of periodic solutions for a class of nonlinear evolution inclusions" (with S. Hu), Bolletino dell'unione Matematica Italiana, 7B (1993), 591{ \On the solution set of nonconvex subdi_erential evolution inclusions", Czech. Math. J., 44 (1994), 481{ \Nonconvex valued Volterra integral inclusions in Banach spaces", Czech. Math. J., 44 (1994), 631{648.

8 104. \A strong relaxation theorem for maximal monotone di_erential inclusions with memory", Arch. Math. (Brno), 30 (1994), 227{ \Weakly maximal programs for a multisector growth model", J. Math. Anal. Appl., 183 (1994), 624{ \A sensitivity analysis of Volterra integral inclusions with applications to optimal control problems" (with S. Aizicovici), J. Math. Anal. Appl., 186 (1994), 97{ \Controllability of in_nite dimensional systems with control constraints", J. Math. Anal. Appl., 186 (1994), 523{ \Viability theorems for nonautonomous di_erential inclusions with nonconvex domain", Math. Japonica, 40 (1994), 67{ \Optimization of parametric nonlinear evolution equations", Yokohama Math. Jour., 42 (1994), 107{ \Parametrized relaxation for evolution inclusions of the subdi_erential type", Inter. J. Syst. Sci., 25 (1994), 1707{ \Boundary value problems and periodic solutions for semilinear evolution inclusions", Comm. Math. Univ. Carol., 35 (1994), 325{ \Support prices for weakly maximal programs of growth model with uncertainty", Comm. Math. Univ. Carol., 35 (1994), 581{ \On the topological regularity of the solution set of di_erential inclusion with constraints" (with S. Hu), J. of Di_erential Equations, 107 (1994), 280{ \Optimal programs and their price characterization in a multisector growth model with uncertainty", Proceedings of the AMS, 122 (1994) 227{ \A continuous version of the relaxation theorem for nonlinear evolution inclusions", Houston J. Math., 20 (1994), 685{ \On Fatou's Lemma and parametric integrals for set-valued functions", J. Math. Anal. Appl., 187 (1994), 809{ \Identi_cation of parameters in systems governed by nonlinear evolution equations", Publicationes Math. Debreen, 48 (1994), 1{ \On the topological properties of the solution set of evolution inclusions involving time dependent subdi_erential operators", Bollettino dell' UMI, 9B (1995), 359{ \Minimax control of nonlinear evolution equations", Appl. Math. Comp., 68 (1995), 217{ \On parametric evolution inclusions of the subdi_erential type with applications to optimal control problems", Transactions of AMS, 347 (1995), 203{ \Generalizations of Browder's degree theory" (with S. Hu), Transactions of AMS, 347 (1995), 233{ \Existence theory for nonlinear distributed parameter optimal control systems", Japan Jour. Indust. Appl. Math., 12 (1995), 457{ \Optimality conditions for systems driven by nonlinear evolution equations", Math. Problems of Engineering, 1 (1995), 27{ \On periodic solutions of functional-di_erential inclusions in RN" (with N. Shahzad), Dyn. Cont. Disc. Imp. Systems, 1 (1995), 40{49.

9 125. \Existence and strong relaxation theorems for nonlinear evolution inclusions" (with N. Shahzad), Yokohama Math. Jour., 43 (1995), 73{ \On the conditional expectation and convergence properties of random sets", Transactions of AMS, 347 (1995), 2495{ \On the variational stability of a class of nonlinear parabolic optimal control problems", Zeitschr. f ur Anal. und Anwend., 15 (1996), 245{ \Time-dependent integral inclusions in Banach spaces" (with S. Aizicovici, Y. Ding), Disc. Cont. Dyn. Systems, 2 (1996), 53{ \Existence theorems for nonlinear boundary value problems for second order di_erential inclusions" (with D. Kandilakis), J. Di_erential Eqns, 132 (1996), 107{ \Optimal control and admissible relaxation for uncertain nonlinear elliptic systems", J. Math. Anal. Appl., 197 (1996), 27{ \On the existence of extremal periodic solutions for nonlinear parabolic problems with discontinuities" (with E. Avgerinos), J. Di_erential Eqns, 136 (1996), 179{ \Extremal solutions for nonlinear parabolic problems with discontinuities" (with T. Cardinali, A. Fiacca), Monats. f ur Math., 124 (1997), 119{ \Di_erential variational inequalities in RN" (with E. Avgerinos), Indian J. Pure Appl. Math., 28 (1997), 1267{ \On the structure of the solution set of evolution inclusions with time-dependent subdi_erentials" (with F. Papalini), Rend. Sem. Mat. Univ. Padova, 97 (1997), 163{ \Random evolution inclusions of the subdi_erential type" (with F. Papalini), Stoch. Anal. Appl., 15 (1997), 801{ \On the existence of solutions for nonlinear parabolic problems with nonmonotone discontinuities", J. Math. Anal. Appl., 205 (1997), 434{ \Properties of the solution set of nonlinear evolution inclusions" (with N. Shahzad), Appl. Math. Optim., 36 (1997), 1{ \Evolution inclusions involving a di_erence term of subdi_erentials", Indian J. Pure. Appl. Math., 28 (1997), 575{ \Transition vector measures and multimeasures and parametric set-valued integrals", Rocky Mountain J. Math., 27 (1997), 1{ \On a nonstationary discrete-time and periodic solutions for nonlinear evolution inclusions" (with F. Papalini{S. Vercillo), Comm. Math. Univ. Carol., 38 (1997), 193{ \Minimal solutions for nonlinear parabolic problems with unilateral constraints" (with F. Papalini{ S. Vercillo), Houston J. Math., 23 (1997), 189{ \Convex integral functionals", Transactions of AMS, 349 (1997), 1421{1436.

10 143. \Solutions and periodic solutions for nonlinear evolution equations with nonmonotone perturbations" (with E. Avgerinos), Zeits. f ur Anal. und ihre Anwend., 17 (1998), 859{ \Nonlinear periodic parabolic problems with nonmonotone discontinuities" (with D. Kandilakis), Proc. Edinburgh Math. Soc., 41 (1998), 117{ \Time dependent subdi_erential evolution inclusions and optimal control" (with S. Hu), Memoirs of the AMS, 632 (1998) \Existence and relaxation results for nonlinear second order multivalued boundary value problems in RN" (with N. Halidias), J. Di_. Equations, 147 (1998), 123{ \Existence of solutions and periodic solutions for nonlinear evolution inclusions" (with F. Papalini{ F. Renzacci), Rend. Circolo Mat. Palermo, 48 (1999), 341{ \Nonlinear hemivariational inequalities at resonance" (with L. Gasi_nski), Bull. Australian Math. Soc,, 60 (1999), 353{ \Almost sure convergence and decomposition of multivalued random process" (with E. Avgerinos), Rocky Mountain J. Math., 29 (1999), 401{ \Existence and relaxation theorems for nonlinear multivalued boundary value problems" (with E. Avgerinos), Appl. Math. Optim., 39 (1999), 257{ \Periodic solutions for nonconvex di_erential inclusions", (with S. Hu{D. Kandilakis), Proc. AMS, 127 (1999), 89{ \Nonlinear nonmonotone evolution inclusions" (with F. Papalini{N. Yannakakis), invited paper on the special issue on \Nonlinear Operator Theory" (ed. D. O'Regan), Mathematical and Computer Modeling, 32 (2000), 1345{ \Nonsmooth critical point theory and nonlinear elliptic equations at resonance" (with N. Kourogenis), J. Australian. Math. Soc., 69 (2000), 245{ \Multiple solutions for nonlinear discontinuous strongly resonant elliptic problems" (with N. Kourogenis), J. Math. Soc. Japan, 53 (2001), 17{ \Solutions and multiple solutions for quasilinear hemivariational inequalities at resonance" (with L. Gasi_nski), Proc. Royal Soc. Edinburgh, 131A (2001), 1091{ \On nonlinear hemivariational inequalities" (with G. Smyrlis), Vol.419 of Dissertations Math (Rozprawy Mat). 37 (2001) 9{ \Periodic problems for strongly nonlinear second order di_erential inclusions" (with S. Th. Kyritsi{ N. Matzakos), J. Di_. Eqns, 183 (2002), 279{ \Extremal periodic for sudi_erential evolution inclusions" (with S. Hu), Di_erential Equations and Dynamical Systems, 10 (2002), 277{ \Nonlinear boundary value problems for di_erential inclusions" (with R. Bader), Math. Nachr,

11 244 (2002), 5{ \An obstacle problem for nonlinear hemivariational inequalities at resonance" (with S. Th. Kyritsi), J. Math. Anal. Appl., 276 (2002), 292{ \Two bounded solutions of positive sign for nonlinear hemivariational inequalities at resonance" (with L. Gasi_nski), Publ. Math. Debrecen, 63 (2003), 29{ \Nonlinear hemivariational inequalities of second order using the method of upper and lower solutions" (with N. Kourogenis), Proc. AMS, 131 (2003), 2359{ \Existence and relaxation of _nite{dimensional optimal control problems driven by maximal monotone operators" (with F. Papalini), Zeitsch. Anal. Anwend., 22 (2003), 863{ \Positive solutions for second order multivalued boundary value problems" (with M. Filippakis{L. Gasi_nski), in \Nonlinear Analysis and Applications"eds. R. Agarwal-D. O'Regan, Kluwer, (2003), \Nonsmooth critical point theory on closed convex sets and nonlinear hemivariationals inequalities" (with S. Th. Kyritsi), Nonlin. Anal., 61 (2003), 373{ \On the convergence of solutions of multivalued parabolic equations and applications", (with Z. Denkowski{S. Mig_orski), Nonlin. Anal. 54 (2003), 667{ \Two nontrivial solutions for quasilinear periodic problems" (with E. Papageorgiou), Proc. AMS, 132 (2004), 429{ \Strongly nonlinear multivalued periodic problems with maximal monotone terms" (with E. Papageorgiou), Di_. Integral Eqns, 17 (2004), 443{ \Multiple solutions of constant sign for quasilinear hemivariational inequalities at resonance" (with S. Th. Kyritsi), Calculus of Variations and PDEs, 20 (2004), 1{ \Solvability of semilinear inequalities at resonance using generalized Landesman{Lazer conditions" (with S. Th. Kyritsi), Monatshefte f ur Math., 142 (2004), 227{ \Quasilinear hemivariational inequalities with strong resonance at in_nity" (with M. Filippakis{L. Gasi_nski), Nonlin. Anal., 56 (2004), 331{ \Multiple solutions for nonlinear elliptic equation at resonance with a nonsmooth potential" (with D. Motreanu), Nonlin. Anal., 56 (2004), 1211{ \Periodic problems with asymmetric nonlinearities and nonsmooth potentials" (with M. Filippakis{ L. Gasi_nski), Nonlin. Anal., 58 (2004), 683{ \Existence and multiplicity of positive solutions for nonlinear boundary value problems driven by the scalar p Laplacian" (with M. Filippakis), Comm. Pure Appl. Anal., 3 (2004), 729{ \Two nontrivial solutions for strongly resonant nonlinear elliptic equations" (with S. Th. Kyritsi{ D. Motreanu), Archiv der Math., 83 (2004), 60{69.

12 \Solutions for nonlinear variational inequalities with a nonsmooth potential" (with M. Filippakis), Abstract Appl. Anal., 2004:8 (2004), 635{ \Nonlinear second order periodic systems with nonsmooth potential" (with E. Papageorgiou), Proc. Indian Acad. Sci., 114 (2004), \Existence theorems for periodic di_erential inclusions in RN" (with M. Filippakis{L. Gasi_nski), Acta Math. Appl. Sinica, 20 (2004), 179{ \Periodic solutions for nonautonomous systems with nonsmooth quadratic or superquadratic potential" (with D. Motreanu{V. V. Motreanu), Topol. Meth. Nonlin. Anal., 24 (2004), 269{ \Nonlinear second order periodic systems with nonsmooth potential", Proc. Indian Acad. Sci., 114 (2004), 269{ \The Neumann problem for quasilinear di_erential equations" (with T. Cardinali{R. Servadei), Archiv. Math., 40 (2004), \Multivalued p-lienard systems" (with M. Filippakis), Fixed Point Theory and Appl., 2 (2004), \Solutions for nonlinear variational inequalities with nonsmooth potential" (with M. Filippakis), Abstract Appl. Anal., 40 (2004), \On nonlinear elliptic hemivariational inequalities of second order" (with L. Gasi_nski), Acta Math. Sci., 24 (2004), 451{ \Periodic solutions of second order equations with the scalar p-laplacian and nonsmooth potential" (with N. Yannakakis), Funkcialaj Ekvac., 47 (2004), \Existence of solutions for strongly nonlinear elliptic di_erential inclusions with unilateral constraints" (with D. Motreanu{V. Motreanu), Advances in Di_. Eqns, 9 (2005), 961{ \Solutions for doubly resonant nonlinear nonsmooth periodic problems", (with S. Th. Kyritsi), Proc. Edinburgh Math. Soc. 48 (2005), 199{ \Multiple solutions for strongly resonant nonlinear elliptic problems with discontinuities" (with S. Th. Kyritsi), Proc. Amer. Math. Soc., 133 (2005), 2369{ \Positive periodic and homoclinic solutions for nonlinear di_erential equations with nonsmooth potential" (with S. Hu), Positivity, 9 (2005), 1{ \Pairs of positive solutions of nonlinear elliptic equations with the p-laplacian and a nonsmooth potential" (with S. Th. Kyritsi), Annali di Mathematica Pura ed Appl., 184 (2005), 449{ \Positive solutions for nonlinear hemivariational inequalities" (with S. Hu), J. Math. Analysis Appl., 310 (2005), 161{ \Solvability of nonlinear variational-hemivariational inequalities" (with M. Filippakis), J. Math. Anal. Appl., 311 (2005), \Extremal solutions for nonlinear second order di_erential inclusions", (with P. Douka) Math. Nachrichten, 276 (2005), 1{ \On the existence of positive solutions for hemivariational inequalities driven by the p- Laplacian" (with M. Filippakis{L. Gasi_nski), J. Global Optim., 31 (2005), \Nontrivial solutions for semilinear hemivariational inequalities resonant at higher eigenvalues"

13 (with M. Filippakis{L. Gasi_nski), Acta Scientiarum Math., 71 (2005), 561{ \Extremal solutions and strong relaxation for second order multivalued boundary value problems" (with L. Gasi_nski), Czechoslovak Math. Journal., 55 (2005), 827{ \Second order nonlinear evolution inclusions I: Existence and relaxation results" (with N. Yannakakis), Acta Math. Sinica, 21 (2005), 977{ \Nonlinear boundary value problems for second order di_erential inclusions" (with S. Th. Kyritsi{ N. Matzakos), Czechoslovak Math. Jour., 55 (2005), 545{ \Some elliptic hemivariational and variational-hemivariational inequalities" (with S. Marano), Nonlin. Anal., 62 (2005), 757{ \Minimizers of nonsmooth fuctionals on manifolds and nonlinear eigenvalue problems with constraints" (with S. Th. Kyritsi), Public. Math. Debrecen, 67 (2005), 265{ \Pairs of solutions of constant sign for nonlinear periodic equations with unbounded nonlinearity" (with S. Hu), Bull. Belgian. Math. Soc., 12 (2005), 193{ \Existence of solutions for strongly nonlinear elliptic di_erential inclusions with unilateral constraints" (with D. Motreanu{V. V. Motreanu), Adv. Di_. Eqns, 9 (2005), 961{ \Periodic solutions for nonautonomous systems with nonsmooth quadratic and superquadratic potential" (with D. Motreanu{V. V. Motreanu), Topol. Meth. Nonlin. Anal., 24 (2005), 269{ \Nonlinear periodics problems with nonsmooth potential restricted in one direction" (with M. Filippakis{L. Gasi_nski), Public. Math. Debrecen, 68 (2006), 37{ \Second order nonlinear evolution inclusion II: Structure of the solution set" (with N. Yannakakis), Acta Math. Sinica, 22 (2006), 195{ \Nontrivial solutions for resonant hemivariational inequalities" (with Z. Denkowski{L. Gasi_nski), J. Global Optim., 34 (2006), 317{ \Two nontrivial critical points for nonsmooth functionals via local linking and applications" (with D. Kandilakis{N. Kourogenis), J. Global Optim., 34 (2006), 219{ \Multiplicity results for nonlinear Neumann problems" (with M. Filippakis{L. Gasi_nski), Canadian J. Math., 58 (2006), 64{ \Nonsmooth generalized quiding functions for periodic di_erential inclusions" (with M. Filippakis{ L. Gasi_nski), NoDEA., 13 (2006), 43{ \Periodic solutions of nonlinear evolution inclusions in Banach spaces" (with S. Aizicovici{V. Staicu), Jour. Nonlin. Conv. Anal., 7 (2006), 163{ \Periodic solutions for second order di_erential inclusions with scalar p-laplacian" (with S. Aizicovici{V. Staicu), Topol. Meth. in Nonlin. Anal., 27 (2006), 269{ \Multiple nontrivial solutions for p-laplacian equations with an asymmetric nonlinearity" (with S. Hu), Di_. Integ. Eqns, 19 (2006), 1371{

14 213. \On a Neumann problem with p-laplacian and a nonsmooth potential" (with S. Marano), Di_erential Integral Equations, 19 (2006), 1301{ \Resonant nonlinear periodic problems with the scalar p-laplacian and a nonsmooth potential" (with S. Aizicovici{V. Staicu), J. Math. Anal. Appl., 322 (2006), 913{ \Nontrivial solutions for resonant hemivariational inequalities" (with Z. Denkowski{L. Gasi_nski), Jour.Global Optim., 34 (2006), 317{ \Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues" (with L. Gasi_nski{D. Motreanu), Proc.Indian Acad. Sci., 116 (2006), 233{ \Existence and Multiplicity of solutions for Neumann problems" (with D. Motreanu), J.Di_.Eqns, 232 (2007), 1{ \Neumann problems for nonlinear hemivariational inequalities" (with S. Hu), Math. Nachr., 3 (2007), 290{ \Existence of positive solutions for nonlinear noncoercive hemivariational inequalities" (with M. Filippakis), Canad. Math. Bull., 50 (2007), 356{ \Multiple nontrivial solutions for nonlinear eigenvalue problems" (with D. Motreanu{V. V. Motreanu), Proc. of the AMS, 135 (2007), 3649{ \Multiple solutions for strongly resonant periodic systems" (with V. Staicu), Nonlin. Anal., 67 (2007), 1895{ \A multiplicity theorem for problems wit the p-laplacian" (with E.Papageorgiou), J. Funct. Anal., 244 (2007), 63{ \On the existence of two nontrivial solutions of periodic problems with operators of p- Laplacian type" (with R. Agarwal{D. O'Regan), Di_. Eqns, 43 (2007), 1{ \Solutions and multiple solutions for problems with the p-laplacian" (with S. Hu), Monatshefte f ur Math., 150 (2007), 309{ \Multiple nontrivial solutions for nonlinear periodic problems with the p-laplacian" (with S. Aizicovicci{V. Staicu), J. Di_erential Eqns, 243 (2007), 504{ \A uni_ed approach for multiple constant sign and nodal solutions" (with D. Motreanu{V. V. Motreanu), Adv. Di_. Eqns, 12 (2007), 1363{ \Nonautonomous second order periodic systems:existence and mulitplicity of solutions" (with G. Barletta), J. Nonlin. Convex Anal., 8 (2007), 373{ \The method of upper-lower solutions to nonlinear second order di_erential inclusions" (with V. Staicu), Nonlin. Anal., 67 (2007), 708{ \A multiplicity theorem for the Neumann p-laplacian with an asymmetric nonsmooth potential" (with G. Barletta), J. Global Optim., 39 (2007), 365{ \Two nontrivial solutions for periodic systems with inde_nite linear part and a nonsmooth potential" (with D. Motreanu{V. V. Motreanu), Discrete Cont. Dynam. Systems, 19 (2007), 197{

15 231. \A degree theoretic approach for multiple solutions of constant sign for nonlinear elliptic equations" (with D. Motreanu{V. V. Motreanu), Manuscripta Math., 124 (2007), 507{ \Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints" (with S. Aizicovici{V. Staicu), Memoirs of AMS, 196 (2008). item \A multiplicity theorem for hemivariational inequalities with a p-laplacian like di_erential operator" (with E. Rocha{V. Staicu), Nonlin. Anal., 69 (2008), 1150{ \Eigenvalue problem for nonlinear elliptic equations with unilateral constraints" (with M. E. Filippakis{V. Staicu), Nonlin. Anal., 69 (2008), 85{ \Positive solutions and multiple solutions at non-resonance, resonance and near resonance for hemivariational inequalities with the p-laplacian" (with D. Motreanu{V. V. Motreanu), Trans. of the AMS, 360 (2008), 2527{ \A multiplicity theorem for problems with the p-laplacian" (with D. Motreanu{V. V. Motreanu), Nonlin. Anal., 68 (2008), 1016{ \Multiple positive solutions for nonlinear eigenvalue problems with the p-laplacian" (with S. Hu), Nonlin. Anal., 69 (2008), 4286{ \A multivalued nonlinear system with the vector p-laplacian on the semi-in_nity interval" (with M. Filippakis), Canad. Math. Bull., 51 (2008), 217{ \Multiplicity theorems for p-superlinear elliptic problems" (with E. Rocha{V. Staicu), Calc. Var., 33 (2008), 199{ \Multiplicity of solutions for p-laplacian equations which need not be coercive" (with M. Filippakis), Advanced Nonlin. Studies, 8 (2008), 235{ \Existence of solutions for a class of hemivariational quasilinear periodic problems" (with P. Jebelean), Set Valued Analysis, 16 (2008), 923{ \Multiple constant sign and nodal solutions for nonlinear elliptic equations with the p- Laplacian" (with M. Filippakis), J. Di_. Eqns, 245 (2008), 1883{ \Eigenvalue problems for hemivariational inequalities" (with S. R. A. Santos{V. Staicu), Set Valued Analysis, 16 (2008), 1061{ \Positive solutions for nonlinear periodic problems" (with M. Filippakis{V. Staicu), Positivity, 12 (2008), 733{ \Pairs of positive solutions for p-laplacian equations with sublinear and superlinear nonlinearities which do not satisfy the AR-condition" (with E. Rocha), Nonlin. Anal., 70 (2008), 3854{ \Existence and multiplicity of solutions for Neumann p-laplacian type equations" (with L. Gasi_nski), Adv. Nonlin. Studies, 8 (2008), 843{ \Three nontrivial solutions for the p-laplacian with a nonsmooth potential" (with S.R. A. Santos{ V. Staicu), Nonlin. Anal., 68 (2008), 3812{ \Twin positive solutions for p-laplacian nonlinear Neumann problems via variational and degree theoretic methods" (with R. Agarwal{M. Filippakis{D. O'Regan), J. Nonlin. Convex Anal., 9 (2008), 1{23. 17

16 248. \Multiple solutions for doubly resonant elliptic problems using critical groups" (with R. Agarwal{ M. Filippakis{D. O'Regan), CUBO, 10 (2008), 21{ \On the existence of multiple nontrivial solutions for resonant Neumann problems" (with S.R. A. Santos{V. Staicu), J. Nonlin. Convex Analysis, 9 (2008), 351{ \Fixed point theory in Frechet spaces for inward and weakly inward Volterra type operators" (with D. O'Regan), Nonlin. Funct. Anal. Appl., 13 (2008), 643{ \Multiple nontrivial solutions for semilinear elliptic Neumann problems with inde_nite linear part" (with M. Filippakis), Dynamic Systems Appl., 17 (2008), 371{ \A multiplicity theorem for hemivariational inequalities with a p-laplacian-like di_erential operator" (with E. M. Rocha{V. Staicu), Nonlin. Anal., 69 (2008), 1150{ \Eigenvalue problems for nonlinear elliptic equations with unilateral constraints" (with M. Filippakis{V. Staicu), Nonlin. Anal., 69 (2008), 85{ \A multiplicity theorem for a variable exponent Dirichlet problem" (with E. M. Rocha), Glasgow Math J., 50 (2008), 1{ \Nonlinear elliptic equations with an asymptotically linear reaction term" (with G. Smyrlis), Nonlin. Anal., 71 (2009), 3129{ \Constant sign and nodal solutions for problems with the p-laplacian and a nonsmooth potential using variational techniques" (with R. Agarwal{M. Filippakis{D. O'Regan), Boundary Value Problems, (2009), \Solutions and multiple solutions for periodic p-laplacian systems with a nonsmooth potential" (with G. Barletta), Nonlin. Anal., 71 (2009), 4321{ \A variational inequality on the half line" (with A. Kristaly{I. Lazar), Nonlin. Anal., 71 (2009), 5003{ \Multiple solutions for nonlinear Neumann problems with the p-laplacian and a nosmooth crossing potential" (with G. Smyrlis), Nonlinearity, 22 (2009), 1{ \Nontrivial solutions for superquadratic nonautonomous periodic systems" (with S. Hu), Topological Methods Nonlinear Anal., 34 (2009), 327{ \Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities" (with A. Iannizzotto), Nonlin. Anal., 70 (2009), 2385{ \Pairs of positive solutions for the periodic scalar p-laplacian" (with F. Papalini), J. Fixed Point Theory Appl., 5 (2009), \Existence of a pair of positive solutions for a class of nonlinear eigenvalue problems" (with M. Filippakis), Positivity, 13 (2009), 783{ \Existence of two nontrivial solutions via homological local linking for the noncoercive p- Laplacian Neumann problem" (with D. O'Regan), Nonlin. Anal., 70 (2009), 4386{ \Three nontrivial solutions for periodic problems with the p-laplacian" (with L. Gasi_nski), Comm. Pure Appl. Anal., 8 (2009), 1421{1437.

17 \Multiple solutions for nonlinear coercive Neumann problems" (with S. Th. Kyritsi), Comm. Pure Appl. Anal., 8 (2009), 1957{ \Three nontrivial solutions for not necessarily coercive p-laplacian equations" (with S. Hu), Proceedings of the Edinburgh Math. Soc., 52 (2009), 679{ \The spectrum and an index formula for the Neumann p-laplacian and multiple solutions for problems with crossing nonlinearity" (with S. Aizicovici{V. Staicu), Discr. Cont. Dynam. Systems, 25 (2009), 431{ \On a p-superlinear Neumann p-laplacian equation" (with S. Aizicovicci{V. Staicu), Topol. Methods Nonlin. Anal., 34 (2009), \Nonlinear Neumann problems near resonance" (with D. Motreanu{V. V. Motreanu), Indiana Univ. Math. Jour., 58 (2009), 1257{ \Multiple solutions for resonant hemivariational inequalities via minimax methods" (with S. Th. Kyritsi{D. O'Regan), Advanced Nonlin. Studies, 9 (2009), 453{ \Existence of nonzero solutions with exact sign for a p-laplacian equation" (with M. Filippakis{A. Kristaly), Discrete Contin. Dynam. Systems, 24 (2009), 405{ \Existence of multiple solutions with precise sign information for superlinear Neumann problems" (with S. Aizivovici{V. Staicu), Annali di Mat. Pura et Appl., 188 (2009), 679{ \Nodal and multiple constant sign solutions for resonant p-laplacian equation with a nonsmooth potential" (with L. Gasi_nski), Nonlin. Anal., 71 (2009), 5747{ \Multiple solutions for noncoercive resonant Neumann hemivariational inequalities" (with M. Filippakis{D. O'Regan), Commun. Appl. Anal., 13 (2009), 305{ \Multiple solutions for Dirichlet problems which are superlinear at _ and sublinear at inf" (with D. Motreanu{V. V. Motreanu), Commun. Appl. Anal., 13 (2009), 341{ \ On nonlinear parametric problems for p-laplacian-like operators" (with E. Rocha), Rev. R. Acad. Cien, Ser.A, Math., 103 (2009), 177{ \Multiplicity of solutions for a class of resonant p-laplacian Dirichlet problems" (with E. Papageorgiou), Paci_c J. Math., 241 (2009), 309{ \Existence and multiplicity of solutions for second order periodic systems with the p-laplacian and a nonsmooth potential" (with L. Gasi_nski), Monats. f ur Math., 158 (2009), \Multiple constant sign and nodal solutions for superlinear elliptic equations" (with S. Th. Kyritsi), Funkcialaj Ekvacioj, 52 (2009), 437{ \Multiple positive solutions for a p-laplacian Dirichlet problem with a superdi_usive reaction" (with S. Aizicovicci{V. Staicu), Houston J. Math., 36 (2010), 313{ \Multiple solutions for a class of Neumann problems on compact Riemannian manifolds with boundary" (with A. Kristaly{C. Varga), Canad. Math. Bull., 53 (2010), 674{ \On superquadratic periodic systems with inde_nite linear part" (with S. Th. Kyritsi), Nonlin. Anal., 72 (2010), 946{ \A multiplicity theorem for Neumann problems with asymmetric nonlinearity" (with G. Smyrlis),

18 Annali di Mat. Pura et Appl., 189 (2010), 253{ \Multiplicity theorems for semilinear elliptic problems depending on a parameter" (with A. Kristaly), Proc.Edinburgh Math.Soc., 52 (2010), 171{ \Existence of multiple solutions for nonlinear Dirichlet problems with a nonhomogeneous di_erential operator" (with S. Th. Kyritsi{D. O'Regan), Advanced Nonlin. Studies, 10 (2010), 631{ \Multiple nontrivial solutions for doubly resonant periodic problems" (with V. Staicu), Canad. Math. Bull., 53 (2010), 347{ \On the multiplicity of solutions for nonlinear periodic problems with the nonlinearity crossing several eigenvalues" (with S. Th. Kyritsi), Glasgow Math. Jour., 24 (2010), 271{ \Multiple nontrivial solutions for Neumann problems involving the p-laplacian" (with A. Kristaly), Advanced Nonlin. Studies, 10 (2010), 83{ \Existence and multiplicity of solutions for asymptotically linear noncoercive elliptic equations" (with D. Motreanu{V. V. Motreanu), Monatschefte f ur Math., 159 (2010), 59{ \Two positive for p-laplacian equations with convex and concave nonlinearities and a nonsmooth potential" (with M. Filippakis), Applicable Anal., 89 (2010), 193{ \Multiple positive solutions for a class of p-superlinear elliptic problems" (with S. Th. Kyritsi), Nonlinear Anal., 72 (2010), 3069{ \Multiplicity of solutions for parametric p-laplacian equations with nonlinearity concave near the origin" (with S. Hu), Tohoku Math J., 62 (2010), 137{ \A multipliciity theorem for doubly resonant periodic problems" (with L. Gasi_nski), Advanced Nonlin. Studies, 10 (2010), 819{ \Pairs of positive solutions for singular p-laplacian equations with a p-superlinear potential" (with S. Th. Kyritsi), Nonlinear Anal., 73 (2010), 1136{ \Twin positive solutions for singular nonlinear elliptic equations" (with J. Chen{E. M. Rocha), Topological Methods Nonlin. Anal., 35 (2010), 187{ \Existence and multiplicity of solutions for resonant nonlinear Neumann problems" (with S. Aizicovicci{V. Staicu), Topological Methods Nonlin. Anal., 35 (2010), 235{ \Multiple solutions for nonautonomous second order periodic systems" (with Z. Denkowski{L. Gasi_nski), Acta Mathematical Scientia, 30 (2010), 350{ \Multiple solutions for resonant nonlinear periodic equations" (with D. Motreanu{V. V. Motreanu), Nonlinear Di_er. Equat. Appl., 17 (2010), 535{ \Nontrivial solutions for nonvariational quasilinear Neumann problems" (with S. A. R. Santos{V. Staicu), Topological Methods Nonlin. Anal., 36 (2010), 39{ \On the existence of three nontrivial smooth solutions for nonlinear elliptic equations" (with E. M. Rocha{V. Staicu), J. Nonlinear Convex Anal., 11 (2010), 115{ \Multiple nontrivial solutions for resonant Neumann problems" (with M. Filippakis), Math. Nachr., 283 (2010), 1000{ \Existence and multiplicity of solutions for the noncoercive Neumann p-laplacian" (with E. M. Rocha), Conference on Variational and Topological Methods, Electronic J. Di_erential Equations, Conference, 18 (2010), 55{66.

19 304. \Three nontrivial solutions for p-laplacian Neumann problems with a concave nonlinearity near the origin" (with S. Aizicovicci{V. Staicu), Contemporary Math., Vol.513 (2010), 25{ \Multiple positive solutions for nonlinear periodic problems" (with S. Hu), Nonlinear Anal., 73 (2010), 3675{ \Nonlinear Neumann equations driven by a nonhomogeneous di_erential operator" (with S. Hu), Comm. Pure Appl. Anal., 9 (2010), 1801{ \Positive solutions and bifurcation phenomena for nonlinear elliptic equations of logistic type: The superdi_usive case" (with S. Aizicovicci{V. Staicu), Comm. Pure Appl. Anal., 9 (2010), 1507{ \Existence of three nontrivial smooth solutions for nonlinear resonant Neumann problems driven by the p-laplacian" (with L. Gasi_nski), Zeitschrift f ur Anal. Anwend, 29 (2010), 413{ \Nontrivial solutions for Neumann problems with an inde_nite linear part" (with L. Gasi_nski), Applied Math Comput., 217 (2010), 2666{ \A multiplicity theorem for p-superlinear p-laplacian equations using critical groups and Morse theory" (with S. Th. Kyritsi{D. O'Regan), Monatschefte f ur Math., 163 (2011), 471{ \Multiple solutions for noncoercive problems with the p-laplacian" (with L. Gasi_nski), Bull. Belgian Math. Soc., 18 (2011), 135{ \Positive solutions for nonlinear Neumann problems with concave and convex terms" (with G. Smyrlis), Positivity, 16 (2012), 271{ \Nonlinear resonant periodic problems with concave terms" (with S. Aizicovicci{V.Staicu), J.Math Anal. Appl., 375 (2011), 342{ \On p-laplace equations with concave terms and asymmetric nonlinearities" (with D. Motreanu{ V. V. Motreanu), Proc. Royal Soc. Edinburgh, 141A (2011), 171{ \On the existence of three nontrivial solutions for periodic problems driven by the scalar p- Laplacian" (with F. Papalini), Advanced Nonlin. Studies, 11 (2011), 455{ \Anisotropic nonlinear Neumann problems" (with L. Gasi_nski), Calc. Var. and PDE's, 42 (2011), 323{ \Neumann problems resonant at zero and in_nity" (with L. Gasi_nski), Annali di Mat. Pura Appl., 317 (2012), 395{ \Positive solutions for generalized nonlinear logistic equations of superdi_usive type" (with A. Iannizzotto), Topol. Meth. Nonlin.Anal., 38 (2011), 95{ \Positive solutions for nonlinear periodic problems with concave terms" (with S. Aizicovicci{V. Staicu), J. Math. Anal. Appl., 381 (2011), 866{ \A uni_ed treatment using critical point methods of the existence of multiple solutions for superlinear and sublinear Neumann problems" (with D. Motreanu{D. O'Regan), Commun. Pure Appl. Anal., 10 (2011), 1791{ \Existence of three nontrivial solutions for asymptotically p-linear nonresonance p-laplacian equations" (with E. M. Rocha), Nonlinear Anal., 74 (2011), 5314{5326.

CURRICULUM VITAE. 1992: Degree in Mathematics, Department of Mathematics, University of Patras

CURRICULUM VITAE. 1992: Degree in Mathematics, Department of Mathematics, University of Patras CURRICULUM VITAE George Smyrlis Assistant Professor Department of Mathematics National Technical University of Athens Zografou Campus, 15780 Athens, GREECE e-mail: gsmyrlis@math.ntua.gr Education 1992:

More information

EXISTENCE RESULTS FOR QUASILINEAR HEMIVARIATIONAL INEQUALITIES AT RESONANCE. Leszek Gasiński

EXISTENCE RESULTS FOR QUASILINEAR HEMIVARIATIONAL INEQUALITIES AT RESONANCE. Leszek Gasiński DISCRETE AND CONTINUOUS Website: www.aimsciences.org DYNAMICAL SYSTEMS SUPPLEMENT 2007 pp. 409 418 EXISTENCE RESULTS FOR QUASILINEAR HEMIVARIATIONAL INEQUALITIES AT RESONANCE Leszek Gasiński Jagiellonian

More information

ON THE EXISTENCE OF THREE SOLUTIONS FOR QUASILINEAR ELLIPTIC PROBLEM. Paweł Goncerz

ON THE EXISTENCE OF THREE SOLUTIONS FOR QUASILINEAR ELLIPTIC PROBLEM. Paweł Goncerz Opuscula Mathematica Vol. 32 No. 3 2012 http://dx.doi.org/10.7494/opmath.2012.32.3.473 ON THE EXISTENCE OF THREE SOLUTIONS FOR QUASILINEAR ELLIPTIC PROBLEM Paweł Goncerz Abstract. We consider a quasilinear

More information

NONTRIVIAL SOLUTIONS FOR SUPERQUADRATIC NONAUTONOMOUS PERIODIC SYSTEMS. Shouchuan Hu Nikolas S. Papageorgiou. 1. Introduction

NONTRIVIAL SOLUTIONS FOR SUPERQUADRATIC NONAUTONOMOUS PERIODIC SYSTEMS. Shouchuan Hu Nikolas S. Papageorgiou. 1. Introduction Topological Methods in Nonlinear Analysis Journal of the Juliusz Schauder Center Volume 34, 29, 327 338 NONTRIVIAL SOLUTIONS FOR SUPERQUADRATIC NONAUTONOMOUS PERIODIC SYSTEMS Shouchuan Hu Nikolas S. Papageorgiou

More information

The List of Journals in which Publications with at least One Author Based at a Korean Institution appeared within the period

The List of Journals in which Publications with at least One Author Based at a Korean Institution appeared within the period The List of Journals in which Publications with at least One Author Based at a Korean Institution appeared within the period -5 NP 5 6 7 8 5 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT

More information

Curriculum Vitae. Ovidiu Savin. January 2012

Curriculum Vitae. Ovidiu Savin. January 2012 Curriculum Vitae Ovidiu Savin January 2012 Education. Ph.D. Mathematics, University of Texas at Austin, 2003 M.S. Mathematics, University of Pittsburgh, 1999 Research interest: Partial Differential Equations.

More information

Publications of Biagio Ricceri

Publications of Biagio Ricceri Publications of Biagio Ricceri 1. B. RICCERI, Sull esistenza delle soluzioni delle equazioni differenziali ordinarie negli spazi di Banach in ipotesi di Carathéodory, Boll. Un. Mat. Ital., (5) 18-C (1981),

More information

MULTIPLE SOLUTIONS FOR AN INDEFINITE KIRCHHOFF-TYPE EQUATION WITH SIGN-CHANGING POTENTIAL

MULTIPLE SOLUTIONS FOR AN INDEFINITE KIRCHHOFF-TYPE EQUATION WITH SIGN-CHANGING POTENTIAL Electronic Journal of Differential Equations, Vol. 2015 (2015), o. 274, pp. 1 9. ISS: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu ftp ejde.math.txstate.edu MULTIPLE SOLUTIOS

More information

PUBLICATIONS. Bo Zhang

PUBLICATIONS. Bo Zhang PUBLICATIONS Bo Zhang 1. Bo Zhang, Formulas of Liapunov functions for systems of linear partial differential equations, to appear in Journal of Mathematical Analysis and Applications (available online

More information

MICHAEL E. FILIPPAKIS AND NIKOLAOS S. PAPAGEORGIOU. Received 7 October 2003 and in revised form 9 March 2004

MICHAEL E. FILIPPAKIS AND NIKOLAOS S. PAPAGEORGIOU. Received 7 October 2003 and in revised form 9 March 2004 MULTIVALUED p-lienard SYSTEMS MICHAEL E. FILIPPAKIS AND NIKOLAOS S. PAPAGEORGIOU Received 7 October 23 and in revised form 9 March 24 We examine p-lienard systems driven by the vector p-laplacian differential

More information

Semilinear Robin problems resonant at both zero and infinity

Semilinear Robin problems resonant at both zero and infinity Forum Math. 2018; 30(1): 237 251 Research Article Nikolaos S. Papageorgiou and Vicențiu D. Rădulescu* Semilinear Robin problems resonant at both zero and infinity DOI: 10.1515/forum-2016-0264 Received

More information

Nonlinear Analysis 72 (2010) Contents lists available at ScienceDirect. Nonlinear Analysis. journal homepage:

Nonlinear Analysis 72 (2010) Contents lists available at ScienceDirect. Nonlinear Analysis. journal homepage: Nonlinear Analysis 72 (2010) 4298 4303 Contents lists available at ScienceDirect Nonlinear Analysis journal homepage: www.elsevier.com/locate/na Local C 1 ()-minimizers versus local W 1,p ()-minimizers

More information

Dat Tien Cao. B.S. in Mathematics, University of Science, Vietnam National University of Ho Chi Minh City, Ho Chi Minh City, Vietnam

Dat Tien Cao. B.S. in Mathematics, University of Science, Vietnam National University of Ho Chi Minh City, Ho Chi Minh City, Vietnam Dat Tien Cao Department of Mathematics and Statistics Texas Tech University, Box 41042 Lubbock, TX 79409-1042 Email: dat.cao@ttu.edu http: // www. math. ttu. edu/ ~ dacao/ Education 07.2015 07.2008 06.2006

More information

Multiple Solutions for Parametric Neumann Problems with Indefinite and Unbounded Potential

Multiple Solutions for Parametric Neumann Problems with Indefinite and Unbounded Potential Advances in Dynamical Systems and Applications ISSN 0973-5321, Volume 8, Number 2, pp. 281 293 (2013) http://campus.mst.edu/adsa Multiple Solutions for Parametric Neumann Problems with Indefinite and Unbounded

More information

Countably condensing multimaps and fixed points

Countably condensing multimaps and fixed points Electronic Journal of Qualitative Theory of Differential Equations 2012, No. 83, 1-9; http://www.math.u-szeged.hu/ejqtde/ Countably condensing multimaps and fixed points Tiziana Cardinali - Paola Rubbioni

More information

CURRICULUM VITAE, GIOVANNI COLOMBO

CURRICULUM VITAE, GIOVANNI COLOMBO CURRICULUM VITAE, GIOVANNI COLOMBO Personal and academic Giovanni Colombo, Dipartimento di Matematica Pura ed Applicata, Università di Padova, via Belzoni 7, 35131 Padova (Italy) e-mail: colombo*at *math.unipd.it

More information

List of publications

List of publications List of publications Gerd Herzog [1] On universal functions and interpolation. Analysis 11 (1991), 21 26. [2] On linear operators having supercyclic vectors. Studia Math. 103 (1992), 295 298. [3] Über

More information

Journal Data Filtered By: Selected JCR Year: 2016 Selected Editions: SCIE Selected Ca Category Scheme: WoS

Journal Data Filtered By: Selected JCR Year: 2016 Selected Editions: SCIE Selected Ca Category Scheme: WoS Journal Data Filtered By: Selected JCR Year: 2016 Selected Editions: SCIE Selected Ca Category Scheme: WoS Rank Full Journal Title Total Cites 1 ACTA NUMERICA 2 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

More information

Danh sách tạp chí ISI uy tín Pure Mathematics

Danh sách tạp chí ISI uy tín Pure Mathematics Danh sách tạp chí ISI uy tín Pure Mathematics STT Tên tạp chí ISSN Chuyên ngành (Xếp hạng) 1. ACTA MATHEMATICA 0001-5962 2. ACTA NUMERICA 0962-4929 3. ADVANCED NONLINEAR STUDIES 1536-1365 4. ADVANCES IN

More information

Steven D. Taliaferro updated: February 2010 BIOGRAPHICAL SKETCH CURRENT OFFICE AND ADDRESSES AND PHONE NUMBER

Steven D. Taliaferro updated: February 2010 BIOGRAPHICAL SKETCH CURRENT OFFICE AND  ADDRESSES AND PHONE NUMBER Steven D. Taliaferro updated: February 2010 BIOGRAPHICAL SKETCH NAME: Steven D. Taliaferro CURRENT OFFICE AND E-MAIL ADDRESSES AND PHONE NUMBER Department of Mathematics Texas A&M University College Station,

More information

CURRICULUM VITAE S. MUKHIGULASHVILI. 6. února 2018

CURRICULUM VITAE S. MUKHIGULASHVILI. 6. února 2018 CURRICULUM VITAE S. MUKHIGULASHVILI 6. února 2018 Title: Candidate of Sciences (Physics and Math.) Educational Background: 1984 1991 -Student of Tbilisi State University, Faculty of Mechanics and Mathematics;

More information

NONLINEAR FREDHOLM ALTERNATIVE FOR THE p-laplacian UNDER NONHOMOGENEOUS NEUMANN BOUNDARY CONDITION

NONLINEAR FREDHOLM ALTERNATIVE FOR THE p-laplacian UNDER NONHOMOGENEOUS NEUMANN BOUNDARY CONDITION Electronic Journal of Differential Equations, Vol. 2016 (2016), No. 210, pp. 1 7. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu NONLINEAR FREDHOLM ALTERNATIVE FOR THE p-laplacian

More information

Education. Employment. Industry Experience. Curriculum Vitae Lingju Kong

Education. Employment. Industry Experience. Curriculum Vitae Lingju Kong Curriculum Vitae Lingju Kong (Last Updated on 5/28/2013) Work Address: The University of Tennessee at Chattanooga 615 McCallie Avenue Chattanooga, TN 37403 Phone: 423-425-4582 (office) Education Ph. D.

More information

List of Publications

List of Publications List of Publications Albert Milani May 29, 2007 I. Books. 1. Studi di Funzione, [with A. Negro and S. Straneo], (in Italian). Levrotto & Bella, Torino 1981. 2. Problemi di Esame di Analisi Matematica I

More information

CRITICAL POINT METHODS IN DEGENERATE ANISOTROPIC PROBLEMS WITH VARIABLE EXPONENT. We are interested in discussing the problem:

CRITICAL POINT METHODS IN DEGENERATE ANISOTROPIC PROBLEMS WITH VARIABLE EXPONENT. We are interested in discussing the problem: STUDIA UNIV. BABEŞ BOLYAI, MATHEMATICA, Volume LV, Number 4, December 2010 CRITICAL POINT METHODS IN DEGENERATE ANISOTROPIC PROBLEMS WITH VARIABLE EXPONENT MARIA-MAGDALENA BOUREANU Abstract. We work on

More information

COMBINED EFFECTS FOR A STATIONARY PROBLEM WITH INDEFINITE NONLINEARITIES AND LACK OF COMPACTNESS

COMBINED EFFECTS FOR A STATIONARY PROBLEM WITH INDEFINITE NONLINEARITIES AND LACK OF COMPACTNESS Dynamic Systems and Applications 22 (203) 37-384 COMBINED EFFECTS FOR A STATIONARY PROBLEM WITH INDEFINITE NONLINEARITIES AND LACK OF COMPACTNESS VICENŢIU D. RĂDULESCU Simion Stoilow Mathematics Institute

More information

Existence of Multiple Positive Solutions of Quasilinear Elliptic Problems in R N

Existence of Multiple Positive Solutions of Quasilinear Elliptic Problems in R N Advances in Dynamical Systems and Applications. ISSN 0973-5321 Volume 2 Number 1 (2007), pp. 1 11 c Research India Publications http://www.ripublication.com/adsa.htm Existence of Multiple Positive Solutions

More information

Greek state scholarship for phd studies ( ), first prize in written examinations.

Greek state scholarship for phd studies ( ), first prize in written examinations. Christos Sourdis Date and place of birth: 23-09-1978, Athens, Marital status: Married to Dimitra Antonopoulou. Military service: 35th Rangers Unit, Greek special forces, Cyprus, 2009-2010. Honored by an

More information

Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent

Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent Yūki Naito a and Tokushi Sato b a Department of Mathematics, Ehime University, Matsuyama 790-8577, Japan b Mathematical

More information

ON THE EIGENVALUE PROBLEM FOR A GENERALIZED HEMIVARIATIONAL INEQUALITY

ON THE EIGENVALUE PROBLEM FOR A GENERALIZED HEMIVARIATIONAL INEQUALITY STUDIA UNIV. BABEŞ BOLYAI, MATHEMATICA, Volume XLVII, Number 1, March 2002 ON THE EIGENVALUE PROBLEM FOR A GENERALIZED HEMIVARIATIONAL INEQUALITY ANA-MARIA CROICU Abstract. In this paper the eigenvalue

More information

Recent Trends in Differential Inclusions

Recent Trends in Differential Inclusions Recent Trends in Alberto Bressan Department of Mathematics, Penn State University (Aveiro, June 2016) (Aveiro, June 2016) 1 / Two main topics ẋ F (x) differential inclusions with upper semicontinuous,

More information

Weak solvability of quasilinear elliptic inclusions with mixed boundary conditions

Weak solvability of quasilinear elliptic inclusions with mixed boundary conditions Weak solvability of quasilinear elliptic inclusions with mixed boundary conditions Nicuşor Costea a, and Felician Dumitru Preda b a Department of Mathematics and its Applications, Central European University,

More information

Dynamic Systems and Applications xx (200x) xx-xx ON TWO POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER DIFFERENTIAL INCLUSIONS

Dynamic Systems and Applications xx (200x) xx-xx ON TWO POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER DIFFERENTIAL INCLUSIONS Dynamic Systems and Applications xx (2x) xx-xx ON WO POIN BOUNDARY VALUE PROBLEMS FOR SECOND ORDER DIFFERENIAL INCLUSIONS LYNN ERBE 1, RUYUN MA 2, AND CHRISOPHER C. ISDELL 3 1 Department of Mathematics,

More information

The Existence of Nodal Solutions for the Half-Quasilinear p-laplacian Problems

The Existence of Nodal Solutions for the Half-Quasilinear p-laplacian Problems Journal of Mathematical Research with Applications Mar., 017, Vol. 37, No., pp. 4 5 DOI:13770/j.issn:095-651.017.0.013 Http://jmre.dlut.edu.cn The Existence of Nodal Solutions for the Half-Quasilinear

More information

4) D. Giachetti, E. Mascolo Spectral properties of a class of quasi-elliptic operators, Ann. Univ. Ferrara Sez. VII (N.S.) 25 (1979),

4) D. Giachetti, E. Mascolo Spectral properties of a class of quasi-elliptic operators, Ann. Univ. Ferrara Sez. VII (N.S.) 25 (1979), PUBLICATIONS ARTICLES ON JOURNALS 1 ) D. Giachetti, E. Mascolo Quasi-elliptic problems in Sobolev weighted spaces, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 63 (1977), n. 5, 360-367.

More information

On the role playedby the Fuck spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist

On the role playedby the Fuck spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist Nonlinear Analysis 49 (2002) 603 611 www.elsevier.com/locate/na On the role playedby the Fuck spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist

More information

Multiple positive solutions for a class of quasilinear elliptic boundary-value problems

Multiple positive solutions for a class of quasilinear elliptic boundary-value problems Electronic Journal of Differential Equations, Vol. 20032003), No. 07, pp. 1 5. ISSN: 1072-6691. URL: http://ejde.math.swt.edu or http://ejde.math.unt.edu ftp ejde.math.swt.edu login: ftp) Multiple positive

More information

Curriculum vitae. 1 Studii efectuate. 2 Experienta profesionala. Cristian Bereanu

Curriculum vitae. 1 Studii efectuate. 2 Experienta profesionala. Cristian Bereanu Curriculum vitae Cristian Bereanu 1 Studii efectuate - Mai 2013 - Abilitare, Institutul de Matematica Simion Stoilow al Academiei Romane. Titlul tezei: Boundary value problems with φ-laplacians. Comisia:

More information

Conf. dr. Brigitte E. Breckner

Conf. dr. Brigitte E. Breckner Factori de impact Nr. Publi catiei Referinta Bibliografica Publicat in ultimii 7 ani f_i N_i f_i/n_i 1. B. E. Breckner, The Bohr-compactification of cones of affine topological semigroups, Semigroup Forum

More information

SEMILINEAR ELLIPTIC EQUATIONS WITH DEPENDENCE ON THE GRADIENT

SEMILINEAR ELLIPTIC EQUATIONS WITH DEPENDENCE ON THE GRADIENT Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 139, pp. 1 9. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu ftp ejde.math.txstate.edu SEMILINEAR ELLIPTIC

More information

Xiaoyi Zhang. Educational and Professional History 2003 Ph.D. in Mathematics, Graduate school of China Academy of Engineering Physics at Beijing.

Xiaoyi Zhang. Educational and Professional History 2003 Ph.D. in Mathematics, Graduate school of China Academy of Engineering Physics at Beijing. Xiaoyi Zhang Personal Information: Current Work Address: Department of Mathematics 14 Maclean Hall University of Iowa Iowa city, IA, 52242 Office Phone: 319-335-0785 E-mail: xiaozhang@math.uiowa.edu Educational

More information

EXISTENCE OF SOLUTIONS TO NONHOMOGENEOUS DIRICHLET PROBLEMS WITH DEPENDENCE ON THE GRADIENT

EXISTENCE OF SOLUTIONS TO NONHOMOGENEOUS DIRICHLET PROBLEMS WITH DEPENDENCE ON THE GRADIENT Electronic Journal of Differential Equations, Vol. 2018 (2018), No. 101, pp. 1 18. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu EXISTENCE OF SOLUTIONS TO NONHOMOGENEOUS

More information

PRINCIPALI PUBBLICAZIONI DI MARIA AGOSTINA VIVALDI

PRINCIPALI PUBBLICAZIONI DI MARIA AGOSTINA VIVALDI PRINCIPALI PUBBLICAZIONI DI MARIA AGOSTINA VIVALDI 1) Absolutely minimizing Lipschitz extensions and infinity harmonic functions on the Sierpinski gasket. Nonlinear Anal. 163 (2017), 71-85. In collaborazione

More information

HANDBOOK OF APPLIED ANALYSIS

HANDBOOK OF APPLIED ANALYSIS HANDBOOK OF APPLIED ANALYSIS For other titles published in this series, go to www.springer.com/series/5613 Advances in Mechanics and Mathematics VOLUME 19 Series Editors David Y. Gao (Virginia Polytechnic

More information

PROFESSOR ZDZISŁAW KAMONT A BIBLIOGRAPHICAL NOTE, AND THE LIST OF PUBLICATIONS

PROFESSOR ZDZISŁAW KAMONT A BIBLIOGRAPHICAL NOTE, AND THE LIST OF PUBLICATIONS Opuscula Math. 34, no. 2 (2014), 207 215 http://dx.doi.org/10.7494/opmath.2014.34.2.207 Opuscula Mathematica PROFESSOR ZDZISŁAW KAMONT A BIBLIOGRAPHICAL NOTE, AND THE LIST OF PUBLICATIONS Zdzisław Kamont

More information

Tiziana Cardinali Francesco Portigiani Paola Rubbioni. 1. Introduction

Tiziana Cardinali Francesco Portigiani Paola Rubbioni. 1. Introduction Topological Methods in Nonlinear Analysis Journal of the Juliusz Schauder Center Volume 32, 2008, 247 259 LOCAL MILD SOLUTIONS AND IMPULSIVE MILD SOLUTIONS FOR SEMILINEAR CAUCHY PROBLEMS INVOLVING LOWER

More information

arxiv: v1 [math.ap] 16 Jan 2015

arxiv: v1 [math.ap] 16 Jan 2015 Three positive solutions of a nonlinear Dirichlet problem with competing power nonlinearities Vladimir Lubyshev January 19, 2015 arxiv:1501.03870v1 [math.ap] 16 Jan 2015 Abstract This paper studies a nonlinear

More information

AMBROSETTI-PRODI PROBLEM WITH DEGENERATE POTENTIAL AND NEUMANN BOUNDARY CONDITION

AMBROSETTI-PRODI PROBLEM WITH DEGENERATE POTENTIAL AND NEUMANN BOUNDARY CONDITION Electronic Journal of Differential Equations, Vol. 2018 (2018), No. 41, pp. 1 10. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu AMBROSETTI-PRODI PROBLEM WITH DEGENERATE

More information

HYBRID DHAGE S FIXED POINT THEOREM FOR ABSTRACT MEASURE INTEGRO-DIFFERENTIAL EQUATIONS

HYBRID DHAGE S FIXED POINT THEOREM FOR ABSTRACT MEASURE INTEGRO-DIFFERENTIAL EQUATIONS HYBRID DHAGE S FIXED POINT THEOREM FOR ABSTRACT MEASURE INTEGRO-DIFFERENTIAL EQUATIONS Dr. Sidheshw. S. Bellale Dept. of Mathematics, Dayanand Science College, Latur, Maharashtra (IND) Email: sidhesh.bellale@gmail.com

More information

On Systems of Boundary Value Problems for Differential Inclusions

On Systems of Boundary Value Problems for Differential Inclusions On Systems of Boundary Value Problems for Differential Inclusions Lynn Erbe 1, Christopher C. Tisdell 2 and Patricia J. Y. Wong 3 1 Department of Mathematics The University of Nebraska - Lincoln Lincoln,

More information

Polyharmonic Elliptic Problem on Eistein Manifold Involving GJMS Operator

Polyharmonic Elliptic Problem on Eistein Manifold Involving GJMS Operator Journal of Applied Mathematics and Computation (JAMC), 2018, 2(11), 513-524 http://www.hillpublisher.org/journal/jamc ISSN Online:2576-0645 ISSN Print:2576-0653 Existence and Multiplicity of Solutions

More information

ON A CONJECTURE OF P. PUCCI AND J. SERRIN

ON A CONJECTURE OF P. PUCCI AND J. SERRIN ON A CONJECTURE OF P. PUCCI AND J. SERRIN Hans-Christoph Grunau Received: AMS-Classification 1991): 35J65, 35J40 We are interested in the critical behaviour of certain dimensions in the semilinear polyharmonic

More information

Special Session 32: Existence and Multiplicity Results in Elliptic Variational Problems

Special Session 32: Existence and Multiplicity Results in Elliptic Variational Problems 142 9 th AIMS CONFERENCE ABSTRACTS Special Session 32: Existence and Multiplicity Results in Elliptic Variational Problems G. Bonanno, S. Carl, University of Halle, Germany S. A. Marano, University of

More information

A Quasi-Linear Parabolic Partial Differential Equation with Accretive Property

A Quasi-Linear Parabolic Partial Differential Equation with Accretive Property ONLINE ISSN 8-749 : Volume 3, Issue, 433-438 A Quasi-Linear Parabolic Partial Differential Equation with Accretive Property Aminu U. Bawa *, Micheal O. Egwurube and Murtala M. Ahmad 3 Department of Computer

More information

Localization phenomena in degenerate logistic equation

Localization phenomena in degenerate logistic equation Localization phenomena in degenerate logistic equation José M. Arrieta 1, Rosa Pardo 1, Anibal Rodríguez-Bernal 1,2 rpardo@mat.ucm.es 1 Universidad Complutense de Madrid, Madrid, Spain 2 Instituto de Ciencias

More information

Curriculum Vitae for Hart Smith - Updated April, 2016

Curriculum Vitae for Hart Smith - Updated April, 2016 Curriculum Vitae for Hart Smith - Updated April, 2016 Education Princeton University, 1984 1988. Ph.D. in Mathematics, January, 1989. Thesis supervisor: E. M. Stein. Thesis title: The subelliptic oblique

More information

MULTIPLE SOLUTIONS FOR CRITICAL ELLIPTIC PROBLEMS WITH FRACTIONAL LAPLACIAN

MULTIPLE SOLUTIONS FOR CRITICAL ELLIPTIC PROBLEMS WITH FRACTIONAL LAPLACIAN Electronic Journal of Differential Equations, Vol. 016 (016), No. 97, pp. 1 11. ISSN: 107-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu ftp ejde.math.txstate.edu MULTIPLE SOLUTIONS

More information

Bifurcation from the rst eigenvalue of some nonlinear elliptic operators in Banach spaces

Bifurcation from the rst eigenvalue of some nonlinear elliptic operators in Banach spaces Nonlinear Analysis 42 (2000) 561 572 www.elsevier.nl/locate/na Bifurcation from the rst eigenvalue of some nonlinear elliptic operators in Banach spaces Pavel Drabek a;, Nikos M. Stavrakakis b a Department

More information

CARISTI TYPE OPERATORS AND APPLICATIONS

CARISTI TYPE OPERATORS AND APPLICATIONS STUDIA UNIV. BABEŞ BOLYAI, MATHEMATICA, Volume XLVIII, Number 3, September 2003 Dedicated to Professor Gheorghe Micula at his 60 th anniversary 1. Introduction Caristi s fixed point theorem states that

More information

Existence and multiplicity of positive solutions of a one-dimensional mean curvature equation in Minkowski space

Existence and multiplicity of positive solutions of a one-dimensional mean curvature equation in Minkowski space Pei et al. Boundary Value Problems (28) 28:43 https://doi.org/.86/s366-8-963-5 R E S E A R C H Open Access Existence and multiplicity of positive solutions of a one-dimensional mean curvature equation

More information

SEQUENCES OF SMALL HOMOCLINIC SOLUTIONS FOR DIFFERENCE EQUATIONS ON INTEGERS

SEQUENCES OF SMALL HOMOCLINIC SOLUTIONS FOR DIFFERENCE EQUATIONS ON INTEGERS Electronic Journal of Differential Equations, Vol. 2017 (2017, No. 228, pp. 1 12. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu SEQUENCES OF SMALL HOMOCLINIC SOLUTIONS

More information

Nehari manifold for non-local elliptic operator with concave convex nonlinearities and sign-changing weight functions

Nehari manifold for non-local elliptic operator with concave convex nonlinearities and sign-changing weight functions Proc. Indian Acad. Sci. (Math. Sci.) Vol. 125, No. 4, November 2015, pp. 545 558. c Indian Academy of Sciences Nehari manifold for non-local elliptic operator with concave convex nonlinearities and sign-changing

More information

arxiv: v2 [math.ap] 3 Nov 2014

arxiv: v2 [math.ap] 3 Nov 2014 arxiv:22.3688v2 [math.ap] 3 Nov 204 Existence result for differential inclusion with p(x)-laplacian Sylwia Barnaś email: Sylwia.Barnas@im.uj.edu.pl Cracow University of Technology Institute of Mathematics

More information

MULTIPLE SOLUTIONS FOR BIHARMONIC ELLIPTIC PROBLEMS WITH THE SECOND HESSIAN

MULTIPLE SOLUTIONS FOR BIHARMONIC ELLIPTIC PROBLEMS WITH THE SECOND HESSIAN Electronic Journal of Differential Equations, Vol 2016 (2016), No 289, pp 1 16 ISSN: 1072-6691 URL: http://ejdemathtxstateedu or http://ejdemathuntedu MULTIPLE SOLUTIONS FOR BIHARMONIC ELLIPTIC PROBLEMS

More information

Curriculum Vitae. Address: Department of Mathematics, National Cheng Kung University, 701 Tainan, Taiwan.

Curriculum Vitae. Address: Department of Mathematics, National Cheng Kung University, 701 Tainan, Taiwan. Curriculum Vitae 1. Personal Details: Name: Kung-Chien Wu Gender: Male E-mail address kcwu@mail.ncku.edu.tw kungchienwu@gmail.com Address: Department of Mathematics, National Cheng Kung University, 701

More information

Existence of Positive Solutions to Semilinear Elliptic Systems Involving Concave and Convex Nonlinearities

Existence of Positive Solutions to Semilinear Elliptic Systems Involving Concave and Convex Nonlinearities Journal of Physical Science Application 5 (2015) 71-81 doi: 10.17265/2159-5348/2015.01.011 D DAVID PUBLISHING Existence of Positive Solutions to Semilinear Elliptic Systems Involving Concave Convex Nonlinearities

More information

Existence Results for Multivalued Semilinear Functional Differential Equations

Existence Results for Multivalued Semilinear Functional Differential Equations E extracta mathematicae Vol. 18, Núm. 1, 1 12 (23) Existence Results for Multivalued Semilinear Functional Differential Equations M. Benchohra, S.K. Ntouyas Department of Mathematics, University of Sidi

More information

Tobias Holck Colding: Publications

Tobias Holck Colding: Publications Tobias Holck Colding: Publications [1] T.H. Colding and W.P. Minicozzi II, The singular set of mean curvature flow with generic singularities, submitted 2014. [2] T.H. Colding and W.P. Minicozzi II, Lojasiewicz

More information

Generalized Monotonicities and Its Applications to the System of General Variational Inequalities

Generalized Monotonicities and Its Applications to the System of General Variational Inequalities Generalized Monotonicities and Its Applications to the System of General Variational Inequalities Khushbu 1, Zubair Khan 2 Research Scholar, Department of Mathematics, Integral University, Lucknow, Uttar

More information

Existence and Multiplicity of Solutions for a Class of Semilinear Elliptic Equations 1

Existence and Multiplicity of Solutions for a Class of Semilinear Elliptic Equations 1 Journal of Mathematical Analysis and Applications 257, 321 331 (2001) doi:10.1006/jmaa.2000.7347, available online at http://www.idealibrary.com on Existence and Multiplicity of Solutions for a Class of

More information

CONTROLLABILITY OF NONLINEAR DISCRETE SYSTEMS

CONTROLLABILITY OF NONLINEAR DISCRETE SYSTEMS Int. J. Appl. Math. Comput. Sci., 2002, Vol.2, No.2, 73 80 CONTROLLABILITY OF NONLINEAR DISCRETE SYSTEMS JERZY KLAMKA Institute of Automatic Control, Silesian University of Technology ul. Akademicka 6,

More information

Bibliography. 1. Thesis, On a holomorphic differerential equation, UC Berkeley, 1973.

Bibliography. 1. Thesis, On a holomorphic differerential equation, UC Berkeley, 1973. Paul Yang Bibliography 1. Thesis, On a holomorphic differerential equation, UC Berkeley, 1973. 2. On compact Kahler manifolds of negative holomorphic bisectional curvature, Duke Math. Jour., 43 (1976),

More information

Research Statement. Xiangjin Xu. 1. My thesis work

Research Statement. Xiangjin Xu. 1. My thesis work Research Statement Xiangjin Xu My main research interest is twofold. First I am interested in Harmonic Analysis on manifolds. More precisely, in my thesis, I studied the L estimates and gradient estimates

More information

Curriculum Vitae. Xiaodong Wang xwang/ B.S. in Mathematics, Tsinghua University, China, 1993.

Curriculum Vitae. Xiaodong Wang  xwang/ B.S. in Mathematics, Tsinghua University, China, 1993. Curriculum Vitae Xiaodong Wang http://www.math.msu.edu/ xwang/ Education B.S. in Mathematics, Tsinghua University, China, 1993. M.S. in Mathematics, Peking University, China, 1996. Ph.D. in Mathematics,

More information

HONGJIE DONG. Assistant Professor of Applied Mathematics Division of Applied Mathematics Brown University

HONGJIE DONG. Assistant Professor of Applied Mathematics Division of Applied Mathematics Brown University HONGJIE DONG Assistant Professor of Applied Mathematics Division of Applied Mathematics Brown University Address Division of Applied Mathematics 182 George Street Providence, RI 02912 Phone: (401) 863-7297

More information

EXISTENCE OF THREE WEAK SOLUTIONS FOR A QUASILINEAR DIRICHLET PROBLEM. Saeid Shokooh and Ghasem A. Afrouzi. 1. Introduction

EXISTENCE OF THREE WEAK SOLUTIONS FOR A QUASILINEAR DIRICHLET PROBLEM. Saeid Shokooh and Ghasem A. Afrouzi. 1. Introduction MATEMATIČKI VESNIK MATEMATIQKI VESNIK 69 4 (217 271 28 December 217 research paper originalni nauqni rad EXISTENCE OF THREE WEAK SOLUTIONS FOR A QUASILINEAR DIRICHLET PROBLEM Saeid Shokooh and Ghasem A.

More information

FROM VARIATIONAL TO HEMIVARIATIONAL INEQUALITIES

FROM VARIATIONAL TO HEMIVARIATIONAL INEQUALITIES An. Şt. Univ. Ovidius Constanţa Vol. 12(2), 2004, 41 50 FROM VARIATIONAL TO HEMIVARIATIONAL INEQUALITIES Panait Anghel and Florenta Scurla To Professor Dan Pascali, at his 70 s anniversary Abstract A general

More information

Minimization problems on the Hardy-Sobolev inequality

Minimization problems on the Hardy-Sobolev inequality manuscript No. (will be inserted by the editor) Minimization problems on the Hardy-Sobolev inequality Masato Hashizume Received: date / Accepted: date Abstract We study minimization problems on Hardy-Sobolev

More information

Curriculum vitae of Giandomenico Mastroeni

Curriculum vitae of Giandomenico Mastroeni Curriculum vitae of Giandomenico Mastroeni General Informations Born in Ancona on 4/12/1964 High school degree (Livorno, 7/26/1982) Graduate in Mathematics at the University of Pisa (3/3/1988) Military

More information

Scientific Publications of Silvia Cingolani

Scientific Publications of Silvia Cingolani Scientific Publications of Silvia Cingolani 56. Silvia CINGOLANI, Marco DEGIOVANNI, Giuseppina VANNELLA, Amann - Zehnder type results for p-laplace problems, Annali di Matematica Pura ed Applicata, in

More information

Curriculum Vitae Mingji Zhang

Curriculum Vitae Mingji Zhang Curriculum Vitae Mingji Zhang Contact Information Department of Mathematics Michigan State University 619 Red Cedar Road, East Lansing, MI 48824 Phone: (517)884-1455 Fax: (517)432-1562 Email: mzhang0129@gmail.com

More information

Walter M. Rusin Curriculum Vitae (October 2015)

Walter M. Rusin Curriculum Vitae (October 2015) (October 2015) Address: Oklahoma State University Department of Mathematics Stillwater, OK 74078 Office phone: (405) 744-5847 Mobile phone: (612) 245-3813 E-Mail: walter.rusin@okstate.edu Citizenship:

More information

EXISTENCE OF NONTRIVIAL SOLUTIONS FOR A QUASILINEAR SCHRÖDINGER EQUATIONS WITH SIGN-CHANGING POTENTIAL

EXISTENCE OF NONTRIVIAL SOLUTIONS FOR A QUASILINEAR SCHRÖDINGER EQUATIONS WITH SIGN-CHANGING POTENTIAL Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 05, pp. 1 8. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu ftp ejde.math.txstate.edu EXISTENCE OF NONTRIVIAL

More information

CURRICULUM VITAE Anar Dosi(ev)

CURRICULUM VITAE Anar Dosi(ev) CURRICULUM VITAE Anar Dosi(ev) Work address: Middle East Technical University Northern Cyprus Campus, Guzelyurt, KKTC, Mersin 10, Turkey (e-mail: dosiev@metu.edu.tr, dosiev@yahoo.com) work phone: (0392

More information

A nodal solution of the scalar field equation at the second minimax level

A nodal solution of the scalar field equation at the second minimax level Bull. London Math. Soc. 46 (2014) 1218 1225 C 2014 London Mathematical Society doi:10.1112/blms/bdu075 A nodal solution of the scalar field equation at the second minimax level Kanishka Perera and Cyril

More information

A Caffarelli-Kohn-Nirenberg type inequality with variable exponent and applications to PDE s

A Caffarelli-Kohn-Nirenberg type inequality with variable exponent and applications to PDE s A Caffarelli-Kohn-Nirenberg type ineuality with variable exponent and applications to PDE s Mihai Mihăilescu a,b Vicenţiu Rădulescu a,c Denisa Stancu-Dumitru a a Department of Mathematics, University of

More information

A NOTE ON THE EXISTENCE OF TWO NONTRIVIAL SOLUTIONS OF A RESONANCE PROBLEM

A NOTE ON THE EXISTENCE OF TWO NONTRIVIAL SOLUTIONS OF A RESONANCE PROBLEM PORTUGALIAE MATHEMATICA Vol. 51 Fasc. 4 1994 A NOTE ON THE EXISTENCE OF TWO NONTRIVIAL SOLUTIONS OF A RESONANCE PROBLEM To Fu Ma* Abstract: We study the existence of two nontrivial solutions for an elliptic

More information

Application of Fixed point Theorem in Game Theory

Application of Fixed point Theorem in Game Theory International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume 2, Issue 5, May 2014, PP 469-473 ISSN 2347-307X (Print) & ISSN 2347-3142 (Online) www.arcjournals.org Application

More information

AN EXISTENCE-UNIQUENESS THEOREM FOR A CLASS OF BOUNDARY VALUE PROBLEMS

AN EXISTENCE-UNIQUENESS THEOREM FOR A CLASS OF BOUNDARY VALUE PROBLEMS Fixed Point Theory, 13(2012), No. 2, 583-592 http://www.math.ubbcluj.ro/ nodeacj/sfptcj.html AN EXISTENCE-UNIQUENESS THEOREM FOR A CLASS OF BOUNDARY VALUE PROBLEMS M.R. MOKHTARZADEH, M.R. POURNAKI,1 AND

More information

Extremal Solutions of Differential Inclusions via Baire Category: a Dual Approach

Extremal Solutions of Differential Inclusions via Baire Category: a Dual Approach Extremal Solutions of Differential Inclusions via Baire Category: a Dual Approach Alberto Bressan Department of Mathematics, Penn State University University Park, Pa 1682, USA e-mail: bressan@mathpsuedu

More information

13. K. Cieliebak, É. Séré, Pseudo-holomorphic curves and multibump homoclinic

13. K. Cieliebak, É. Séré, Pseudo-holomorphic curves and multibump homoclinic Publications and preprints : 1. V. Coti-Zelati, I. Ekeland, É. Séré, Solutions doublement asymptotiques de systèmes hamiltoniens convexes, C.R.A.S. 310, Série I (1990), 631-633. 2. V. Coti-Zelati, I. Ekeland,

More information

Existence of positive solution for system of quasilinear elliptic systems on a bounded domain

Existence of positive solution for system of quasilinear elliptic systems on a bounded domain ISSN 1 746-7233, England, UK World Journal of Modelling and Simulation Vol. 5 2009 No. 3, pp. 211-215 Existence of positive solution for system of quasilinear elliptic systems on a bounded domain Hoang

More information

HOMOLOGICAL LOCAL LINKING

HOMOLOGICAL LOCAL LINKING HOMOLOGICAL LOCAL LINKING KANISHKA PERERA Abstract. We generalize the notion of local linking to include certain cases where the functional does not have a local splitting near the origin. Applications

More information

Tobias Holck Colding: Publications. 1. T.H. Colding and W.P. Minicozzi II, Dynamics of closed singularities, preprint.

Tobias Holck Colding: Publications. 1. T.H. Colding and W.P. Minicozzi II, Dynamics of closed singularities, preprint. Tobias Holck Colding: Publications 1. T.H. Colding and W.P. Minicozzi II, Dynamics of closed singularities, preprint. 2. T.H. Colding and W.P. Minicozzi II, Analytical properties for degenerate equations,

More information

Weak and strong convergence theorems of modified SP-iterations for generalized asymptotically quasi-nonexpansive mappings

Weak and strong convergence theorems of modified SP-iterations for generalized asymptotically quasi-nonexpansive mappings Mathematica Moravica Vol. 20:1 (2016), 125 144 Weak and strong convergence theorems of modified SP-iterations for generalized asymptotically quasi-nonexpansive mappings G.S. Saluja Abstract. The aim of

More information

Werner Balser January 11, 2014 LIST OF PUBLICATIONS

Werner Balser January 11, 2014 LIST OF PUBLICATIONS Werner Balser January 11, 2014 LIST OF PUBLICATIONS 1. Über Abschnittslimitierbarkeit, Dissertation, Ulm 1972. 2. Über Abschnittslimitierbarkeit, J. reine u. ang. Math. 281 (1976) 211 218. 3. On linear

More information

NONLINEAR THREE POINT BOUNDARY VALUE PROBLEM

NONLINEAR THREE POINT BOUNDARY VALUE PROBLEM SARAJEVO JOURNAL OF MATHEMATICS Vol.8 (2) (212), 11 16 NONLINEAR THREE POINT BOUNDARY VALUE PROBLEM A. GUEZANE-LAKOUD AND A. FRIOUI Abstract. In this work, we establish sufficient conditions for the existence

More information

Steven D. Taliaferro updated: March 2018 BIOGRAPHICAL SKETCH. Honolulu, Hawaii Married, three children

Steven D. Taliaferro updated: March 2018 BIOGRAPHICAL SKETCH. Honolulu, Hawaii Married, three children Steven D. Taliaferro updated: March 2018 BIOGRAPHICAL SKETCH NAME: Steven D. Taliaferro DATE OF BIRTH: April 4, 1949 PLACE OF BIRTH: MARITAL STATUS: Honolulu, Hawaii Married, three children CURRENT OFFICE

More information

HOMOCLINIC SOLUTIONS FOR SECOND-ORDER NON-AUTONOMOUS HAMILTONIAN SYSTEMS WITHOUT GLOBAL AMBROSETTI-RABINOWITZ CONDITIONS

HOMOCLINIC SOLUTIONS FOR SECOND-ORDER NON-AUTONOMOUS HAMILTONIAN SYSTEMS WITHOUT GLOBAL AMBROSETTI-RABINOWITZ CONDITIONS Electronic Journal of Differential Equations, Vol. 010010, No. 9, pp. 1 10. ISSN: 107-6691. UL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu ftp ejde.math.txstate.edu HOMOCLINIC SOLUTIONS FO

More information