Mean value property for 𝑝-harmonic functions

DOI10.1090/S0002-9939-2011-11181-XzbMath1276.35095OpenAlexW2013716970MaRDI QIDQ2845061

Tiziana Giorgi, Robert G. Smits

Publication date: 22 August 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11181-x

zbMATH Keywords

mean value property\(p\)-harmonic functions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Viscosity solutions to PDEs (35D40) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

An asymptotic expansion for the fractional p-Laplacian and for gradient-dependent nonlocal operators ⋮ A natural approach to the asymptotic mean value property for the \(p\)-Laplacian ⋮ Mean value properties for p-harmonic functions for higher dimensions ⋮ A semi-Lagrangian scheme for the game \(p\)-Laplacian via \(p\)-averaging ⋮ A mean value formula for the variational \(p\)-Laplacian

Cites Work

• A semi-Lagrangian scheme for the game \(p\)-Laplacian via \(p\)-averaging
• Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
• On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
• An asymptotic mean value characterization for 𝑝-harmonic functions
• User’s guide to viscosity solutions of second order partial differential equations
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