A mean value formula for the variational \(p\)-Laplacian

DOI10.1007/s00030-021-00688-6zbMath1467.35190arXiv2003.07084OpenAlexW3140573183MaRDI QIDQ2024996

Erik Lindgren, Félix del Teso

Publication date: 11 May 2021

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07084

zbMATH Keywords

\(p\)-Laplacianviscosity solutionsmean value propertydynamic programming principle

Mathematics Subject Classification ID

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

Related Items (9)

Asymptotic mean value formulas for parabolic nonlinear equations ⋮ Convergence of natural \(p\)-means for the \(p\)-Laplacian in the Heisenberg group ⋮ An asymptotic expansion for the fractional p-Laplacian and for gradient-dependent nonlocal operators ⋮ A Nonlinear Mean Value Property for Monge-Amp\`ere ⋮ Evolution driven by the infinity fractional Laplacian ⋮ Finite difference schemes for the parabolic \(p\)-Laplace equation ⋮ A game theoretical approximation for a parabolic/elliptic system with different operators ⋮ Three representations of the fractional \(p\)-Laplacian: semigroup, extension and Balakrishnan formulas ⋮ A finite difference method for the variational \(p\)-Laplacian

Cites Work

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• On the mean value property for the $p$-Laplace equation in the plane
• An asymptotic mean value characterization for 𝑝-harmonic functions
• An asymptotic expansion for the fractional p-Laplacian and for gradient-dependent nonlocal operators

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