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arXiv · 2301.09022

The Infinity-Laplacian in Smooth Convex Domains and in a Square

Karl K. Brustad·Erik Lindgren·Peter Lindqvist
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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.

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Karl K. Brustad, Erik Lindgren, Peter Lindqvist. 2023-01-21. The Infinity-Laplacian in Smooth Convex Domains and in a Square. https://arxiv.org/abs/2301.09022

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