Hölder continuity of \(p(x)\)-superharmonic functions

DOI10.1016/j.na.2010.06.016zbMath1194.35482OpenAlexW1971700270MaRDI QIDQ988135

Abdeslem Lyaghfouri

Publication date: 26 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.016

zbMATH Keywords

Hölder continuityRadon measurevariable exponent Sobolev spaces\(p(x)\)-Laplace operator\(p(x)\)-superharmonic functions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) PDEs with measure (35R06)

Related Items (6)

REMOVABLE SETS FOR HÖLDER CONTINUOUS p(x)-HARMONIC FUNCTIONS ⋮ Hölder regularity of the gradient for the non-homogeneous parabolicp(x,t)-Laplacian equations ⋮ Hölder estimates for the elliptic p(x)-Laplacian equation with the logarithmic function ⋮ Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side ⋮ Hölder regularity for the general parabolic \(p(x, t)\)-Laplacian equations ⋮ Weighted gradient estimates for the general elliptic \(p(x)\)-Laplacian equations

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