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

Autor:	Brustad, Karl K., Lindgren, Erik, Lindqvist, Peter
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 35J65 35J94 35P30 49N60
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.09022 Zobrazit plný text záznamu View this record from Arxiv