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math.AP2023
On the uniqueness of eigenfunctions for the vectorial -Laplacian
Ryan Hynd, Bernd Kawohl, Peter Lindqvist
We study a non-linear eigenvalue problem for vector-valued eigenfunctions and give a succinct uniqueness proof for minimizers of the associated Rayleigh quotient.
math.AP2023
The Infinity-Laplacian in Smooth Convex Domains and in a Square
Karl K. Brustad, Erik Lindgren, Peter Lindqvist
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…