Concentration-compactness principle for Moser-Trudinger inequalities: new results and proofs
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1 R. Èerný, A. Cianchi and S. Hencl Concentration-compactness principle for Moser-Trudinger inequalities: new results and proofs MATH-KMA-2011/365 June 2011 Submitted Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovska 83, , Praha 8, Czech Republic
2 Cover print by Reprostredisko, Malostranske nam. 25, Praha 1 - Mala Strana Design by Mirko Rokyta, picture of snowake by Ondrej Kalenda Current series administrators: Stanislav Hencl, Ondrej Kalenda
3 List of preprints released in this series All preprints available on contact to series administrator:
4 1999 { 2009 For the details on papers submitted in specied years see the web page of the preprint series MATH-KMA-2010/321 MATH-KMA-2010/322 MATH-KMA-2010/323 MATH-KMA-2010/324 MATH-KMA-2010/325 MATH-KMA-2010/326 MATH-KMA-2010/327 MATH-KMA-2010/328 MATH-KMA-2010/329 MATH-KMA-2010/330 MATH-KMA-2010/331 MATH-KMA-2010/332 MATH-KMA-2010/333 MATH-KMA-2010/334 MATH-KMA-2010/335 MATH-KMA-2010/336 MATH-KMA-2010/337 MATH-KMA-2010/338 MATH-KMA-2010/339 MATH-KMA-2010/340 MATH-KMA-2010/341 MATH-KMA-2010/342 MATH-KMA-2010/343 MATH-KMA-2010/344 MATH-KMA-2010/345 MATH-KMA-2010/346 MATH-KMA-2010/347 MATH-KMA-2010/348 MATH-KMA-2010/349 Jan Rataj, Ludìk Zajíèek: Critical values and level sets of distance functions in Riemannian, Alexandrov and Minkowski spaces Stanislav Hencl: Sobolev homeomorphism with zero jacobian almost everywhere Stanislav Hencl, Jan Malý, Lubo Pick, Jan Vybíral: Weak estimates cannot be obtained by extrapolation H. Bendová and J. Malý: An elementary way to introduce a Perron-like integral Ludìk Zajíèek: A note on propagation of singularities of semiconcave functions of two variables Robert Èerný, Petr Gurka, Stanislav Hencl: Concentration compactness principle for generalized Trudinger inequalities Robert Èerný: Concentration-Compactness principle for embeddings into multiple exponential spaces Robert Èerný: Homeomorphism with zero jacobian: Sharp integrability of the derivative Robert Èerný: On singular Moser-Trudinger inequality for embedding into exponential and mupltiple exponential spaces Daniel Campbell, Stanislav Hencl: A note on mappings of nite distortion: Examples for the sharp modulus of continuity Ondøej Kalenda: Spaces not containing ell1 have weak aproximate xed point property Martin Koc, Ludek Zajíèek: On Kantorovichs result on the symmetry of Dini derivatives Dalibor Pražák: Remarks on the uniqueness of second order ODEs B. Cascales, O. Kalenda and J. Spurný: A quantitative version of Jamescompactness theorem M. Huek, A.Pulgarín: C(X) as a lattice: A generalized problem of Birkho and Kaplansky Ludìk Kleprlík: The zero set of the Jacobian and composition of mappings Ludìk Zajíèek: Generic Frechet dierentiability on Asplund spaces via a.e. strict dierentiability on many lines Ondøej Kurka: Optimal quality of exceptional points for the Lebesgue density theorem Robert Èerný, Petr Gurka, Stanislav Hencl: On the Dirichlet problem for the n; -Laplacian with the nonlinearity in the critical growth range Z. Lipecki, V. Losert and J. Spurný: Uniqueness of Cartesian products of compact convex sets Miroslav Kaèena: On sequentially Right Banach spaces Robert Èerný: Sharp generalized Trudinger inequalities via truncation for embedding into multiple exponential spaces Robert Èerný: On the Dirichlet problem for the generalized n-laplacian: singular nonlinearity with the exponential and multiple exponential critical growth range Robert Èerný, Jan Koláø, Mirko Rokyta: Concentrated monotone measures with non-unique tangential behaviour in R 3 Ale Nekvinda and Lubo Pick: Duals of optimal spaces for the Hardy averaging operator Michal Kraus: Two remarks on remotality Michal Kraus: Point simpliciality in Choquet theory on nonmetrizable compact spaces Stanislav Hencl, Pekka Koskela: Composition of Quasiconformal mappings and functions in fractional Sobolev spaces Tomá Bárta, Ralph Chill, Eva Faangová: Every ordinary dierential equation with a strict Lyapunov function is a gradient system
5 MATH-KMA-2010/350 MATH-KMA-2010/351 MATH-KMA-2010/352 MATH-KMA-2010/353 MATH-KMA-2010/354 Robert Èerný: Generalized Moser-Trudinger inequality for unbounded domains and its application Václav Mácha: On Generalized Stokes Problem Ondøej Kalenda, Hermann Ptzner and Jiøí Spurný: On quantication of weak sequential completeness Lenka Slavíková: Almost-compact embeddings Robert Èerný: Generalized n-laplacian: Quasilinear nonhomogenous problem with the critical growth 2011 MATH-KMA-2011/355 MATH-KMA-2011/356 MATH-KMA-2011/357 MATH-KMA-2011/358 MATH-KMA-2011/359 MATH-KMA-2011/360 MATH-KMA-2011/361 MATH-KMA-2011/362 MATH-KMA-2011/363 MATH-KMA-2011/364 MATH-KMA-2011/365 Marek Cúth: Separable reduction theorems by the method of elementary submodels Stanislav Hencl, Pekka Koskela, Tomi Nieminen: Dimension gap under conformal mappings C.S. Barroso, O.F.K. Kalenda and P.-K. Lin: On the approximate xed point property in abstract spaces Ana L. Bernardis, Amiran Gogatishvili, Francisco Javier Martín-Reyes, Pedro Ortega Salvador and Lubo¹ Pick: The one-sided Ap conditions and local maximal operator O.F.K. Kalenda and J. Spurný: On a dierence between quantitative weak sequential completeness and the quantitative Schur property Petr Hájek and Michal Kraus: Polynomials and identities on real Banach spaces R. Èerný: Note on the Concentration-Compactness Principle for generalized Moser-Trudinger inequalities Pavel Ludvík and Jiøí Spurný: Descriptive properties of elements of biduals of Banach spaces O.Kalenda and W.Kubis: Complementation in spaces of continuous functions on compact lines R. Èerný: On generalized Moser-Trudinger inequality without boundary condition R. Èerný, A. Cianchi and S. Hencl: Concentration-compactness principle for Moser-Trudinger inequalities: new results and proofs
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