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Open Access Research Article Issue
The infinity-Laplacian in smooth convex domains and in a square
Karl K. Brustad, Erik Lindgren, Peter Lindqvist
Mathematics in Engineering 2023, 5(4): 1-16
Published: 15 August 2023
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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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