Lipschitz properties in variable exponent problems via relative rearrangement

DOI10.1007/s11401-010-0608-1zbMath1221.46029OpenAlexW2077708002MaRDI QIDQ619656

Jean Michel Rakotoson

Publication date: 25 January 2011

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-010-0608-1

zbMATH Keywords

Lipschitz propertyvariable exponentvariable Lebesgue spacevariable exponent Sobolev spacedecreasing rearrangementincreasing rearrangementpointwise inequalityrelative rearrangement

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20)

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