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

Scott N. Armstrong; Charles K. Smart

doi:10.1007/s00526-009-0267-9

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

Scott N. Armstrong, Charles K. Smart

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	381-384
Number of pages	4
Journal	Calculus of Variations and Partial Differential Equations
Volume	37
Issue number	3-4
DOIs	https://doi.org/10.1007/s00526-009-0267-9
State	Published - 2010

ASJC Scopus subject areas

Analysis
Applied Mathematics

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

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