On the asymptotic mean value property for planar 𝑝-harmonic functions

DOI10.1090/proc/13026zbMath1345.31006arXiv1507.02108OpenAlexW2964091087MaRDI QIDQ2814406

Angel Arroyo, José González Llorente

Publication date: 22 June 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02108

zbMATH Keywords

mean value property\(p\)-harmonic function

Mathematics Subject Classification ID

Other generalizations (nonlinear potential theory, etc.) (31C45) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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Cites Work

• Regularity of \(p\)-harmonic functions on the plane
• On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
• On the mean value property for the $p$-Laplace equation in the plane
• An asymptotic mean value characterization for 𝑝-harmonic functions
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