The fundamental convergence theorem for \(p(\cdot )\)-superharmonic functions

DOI10.1007/s11118-010-9215-8zbMath1228.31005OpenAlexW2024914343WikidataQ110099342 ScholiaQ110099342MaRDI QIDQ645036

Teemu Lukkari, Olli Toivanen, Visa Latvala

Publication date: 8 November 2011

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-010-9215-8

zbMATH Keywords

comparison principleboundary regularitynon-standard growth\(p(\cdot )\)-Laplacianfundamental convergence theorem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Continuation and prolongation of solutions to PDEs (35B60) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (8)

Global regularity and stability of solutions to obstacle problems with nonstandard growth ⋮ Generalized superharmonic functions with strongly nonlinear operator ⋮ The Kellogg property under generalized growth conditions ⋮ Regularity of \(p(\cdot)\)-superharmonic functions, the Kellogg property and semiregular boundary points ⋮ Overview of differential equations with non-standard growth ⋮ Removable sets in elliptic equations with Musielak-Orlicz growth ⋮ Boundary regularity for p-harmonic functions and solutions of obstacle problems on unbounded sets in metric spaces ⋮ Removable sets in non-uniformly elliptic problems

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