@article{Brustad2023, 
author = {Karl K. Brustad and Erik Lindgren and Peter Lindqvist},
title = {The infinity-Laplacian in smooth convex domains and in a square},
year = {2023},
journal = {Mathematics in Engineering},
volume = {5},
number = {4},
pages = {1-16},
keywords = {the infinity-Laplace operator, nonlinear eigenvalue problem, convex plane domains, gradient flow, Alexandroff's moving plane},
url = {https://www.sciopen.com/article/10.3934/mine.2023080},
doi = {10.3934/mine.2023080},
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.}
}