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.
Citation: Karl K. Brustad, Erik Lindgren, Peter Lindqvist. The infinity-Laplacian in smooth convex domains and in a square[J]. Mathematics in Engineering, 2023, 5(4): 1-16. doi: 10.3934/mine.2023080
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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