The Dirichlet problem for \(p\)-harmonic functions with respect to arbitrary compactifications

DOI10.4171/RMI/1025zbMath1401.30066arXiv1604.08731MaRDI QIDQ1989548

Tomas Sjödin, Anders Björn, Jana Björn

Publication date: 26 October 2018

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08731

zbMATH Keywords

Dirichlet problemmetric space\(p\)-harmonic function

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Potential theory on fractals and metric spaces (31E05) Analysis on metric spaces (30L99)

Related Items (5)

Sphericalization and \(p\)-harmonic functions on unbounded domains in Ahlfors regular spaces ⋮ The Kellogg property and boundary regularity forp-harmonic functions with respect to the Mazurkiewicz boundary and other compactifications ⋮ Resolutive ideal boundaries of nonlinear resistive networks ⋮ Boundary regularity for p-harmonic functions and solutions of obstacle problems on unbounded sets in metric spaces ⋮ Resolutivity and invariance for the Perron method for degenerate equations of divergence type

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