A finite difference method for the variational \(p\)-Laplacian

DOI10.1007/s10915-021-01745-zzbMath1486.65224arXiv2103.06945OpenAlexW4206372362MaRDI QIDQ2063222

Erik Lindgren, Félix del Teso

Publication date: 10 January 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.06945

zbMATH Keywords

finite difference\(p\)-Laplacianviscosity solutionsmean value propertydynamic programming principlenonhomogeneous Dirichlet problem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Asymptotic expansions of solutions to PDEs (35C20) Finite difference methods for boundary value problems involving PDEs (65N06) Viscosity solutions to PDEs (35D40) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Evolution driven by the infinity fractional Laplacian ⋮ Finite difference schemes for the parabolic \(p\)-Laplace equation ⋮ A scheme for the game \(p\)-Laplacian and its application to image inpainting ⋮ Relaxed Kačanov Scheme for the \(\boldsymbol{p}\)-Laplacian with Large Exponent ⋮ Symmetrization for fractional nonlinear elliptic problems ⋮ The infinity Laplacian eigenvalue problem: reformulation and a numerical scheme

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