The Infinity-Laplacian in Smooth Convex Domains and in a Square
Analysis of PDEs
2023-01-24 v1
Abstract
We extend some theorems for the Infinity-Ground State and for the Infinity-Potential, known for convex polygons, to other domains in the plane, by applying Alexandroff's method to the curved boundary. A recent explicit solution disproves a conjecture.
Keywords
Cite
@article{arxiv.2301.09022,
title = {The Infinity-Laplacian in Smooth Convex Domains and in a Square},
author = {Karl K. Brustad and Erik Lindgren and Peter Lindqvist},
journal= {arXiv preprint arXiv:2301.09022},
year = {2023}
}