REMOVABLE SETS FOR HÖLDER CONTINUOUS p(x)-HARMONIC FUNCTIONS

DOI10.1142/S021953051250008XzbMath1243.35065arXiv1101.0418OpenAlexW2964134635MaRDI QIDQ2883131

Abdeslem Lyaghfouri

Publication date: 11 May 2012

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0418

zbMATH Keywords

Sobolev spacesHölder continuityHausdorff measureremovable setsvariable exponents\(p(x)\)-harmonic functions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (1)

Removable sets for Hölder continuous solutions of elliptic equations involving variable exponent

Cites Work

• Hölder continuity of \(p(x)\)-superharmonic functions
• An obstacle problem and superharmonic functions with nonstandard growth
• Removable sets for continuous solutions of quasilinear elliptic equations
• On the weak continuity of elliptic operators and applications to potential theory
• Removable Singularities of Continuous Harmonic Functions in Rm.
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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