Regularity of \(p(\cdot)\)-superharmonic functions, the Kellogg property and semiregular boundary points

DOI10.1016/j.anihpc.2013.07.012zbMath1304.35296arXiv1302.0233OpenAlexW3099428461MaRDI QIDQ477440

Jana Björn, Anders Björn, Tomasz Adamowicz

Publication date: 9 December 2014

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0233

zbMATH Keywords

Sobolev spacecomparison principleobstacle problemnonlinear potential theoryvariable exponentremovable singularitytrichotomy\(p(\cdot)\)-harmonic\(p(\cdot)\)-superharmonic\(p(\cdot)\)-supersolutionKellogg propertylsc-regularizednonstandard growth equationquasicontinuousregular boundary pointsemiregular pointstrongly irregular point

Mathematics Subject Classification ID

Boundary values of solutions to elliptic equations and elliptic systems (35J67) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (5)

The boundary Harnack inequality for variable exponent \(p\)-Laplacian, Carleson estimates, barrier functions and \(p(\cdot)\)-harmonic measures ⋮ Semiregular and strongly irregular boundary points for \(p\)-harmonic functions on unbounded sets in metric spaces ⋮ On a boundary value problem for ap-Dirac equation ⋮ The Kellogg property under generalized growth conditions ⋮ Boundary regularity for p-harmonic functions and solutions of obstacle problems on unbounded sets in metric spaces

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