Stability for the infinity-Laplace equation with variable exponent.

zbMATH Open1265.35105arXiv1103.4736MaRDI QIDQ454539

Peter Lindqvist, Erik Lindgren

Publication date: 8 October 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)

Abstract: The stability for the viscosity solutions of a differential equation with a perturbation term added to the Infinity-Laplace Operator is studied. This is the so-called Infinity-Laplace Equation with variable exponent infinity. An approximation of the identity is crucial for the proofs.

Full work available at URL: https://arxiv.org/abs/1103.4736

zbMATH Keywords

stabilityinfinity Laplacian

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Degenerate elliptic equations (35J70) Viscosity solutions to PDEs (35D40) Comparison principles in context of PDEs (35B51)

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