The Kellogg property and boundary regularity forp-harmonic functions with respect to the Mazurkiewicz boundary and other compactifications

DOI10.1080/17476933.2017.1410799zbMath1406.31002arXiv1705.02255OpenAlexW2773282866MaRDI QIDQ4646581

Anders Björn

Publication date: 14 January 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02255

zbMATH Keywords

Poincaré inequalitydoubling measuremetric measure space\(p\)-harmonic functionsKellogg property

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Other generalizations (nonlinear potential theory, etc.) (31C45) Quasilinear elliptic equations with (p)-Laplacian (35J92) Potential theory on fractals and metric spaces (31E05) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (3)

Sphericalization and \(p\)-harmonic functions on unbounded domains in Ahlfors regular spaces ⋮ Correction of ‘The Kellogg property and boundary regularity for p-harmonic functions with respect to the Mazurkiewicz boundary and other compactifications’ ⋮ The prime end capacity of inaccessible prime ends, resolutivity, and the Kellogg property

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