The $\infty$-harmonic potential is not always an $\infty$-eigenfunction

arxiv: 1210.3303 · v2 · pith:HYAONFENnew · submitted 2012-10-11 · 🧮 math.AP

The infty-harmonic potential is not always an infty-eigenfunction

Erik Lindgren This is my paper

classification 🧮 math.AP

keywords inftyeigenfunctionharmonicpotentialalwaysconvexdomainfirst

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In this note we prove that there is a convex domain for which the $\infty$-harmonic potential is not a first $\infty$-eigenfunction.

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