An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions

Abstract

We present a new, easy, and elementary proof of Jensen's Theorem on the uniqueness of infinity harmonic functions. The idea is to pass to a finite difference equation by taking maximums and minimums over small balls.

4 pages; comments added, proof simplified

References in corpus (2)

• Tug-of-war and the infinity Laplacian
• A finite difference approach to the infinity Laplace equation and tug-of-war games

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