Hölder continuity of solutions to the \(A\)-Laplace equation involving measures

DOI10.3934/cpaa.2009.8.1577zbMath1179.35336OpenAlexW2070983555MaRDI QIDQ1041690

Abdeslem Lyaghfouri, Samia Challal

Publication date: 4 December 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.1577

zbMATH Keywords

Hölder continuityRadon measure\(A\)-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Quasilinear elliptic equations with (p)-Laplacian (35J92) PDEs with measure (35R06)

Related Items (10)

Global higher integrability of the gradient of weak solutions of a quasilinear elliptic equation ⋮ Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side ⋮ Removable sets for \(A\)-harmonic functions ⋮ On the \(A\)-obstacle problem and the Hausdorff measure of its free boundary ⋮ Second order regularity for the \(A\)-Laplace operator ⋮ Porosity of free boundaries in A-obstacle problems ⋮ A continuity result for a quasilinear elliptic free boundary problem. ⋮ On the two obstacles problem in Orlicz–Sobolev spaces and applications ⋮ REGULARITY RESULTS FOR A QUASILINEAR FREE BOUNDARY PROBLEM ⋮ Regularity of solutions to the \(G\)-Laplace equation involving measures

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