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

作者:Armstrong Scott N*; Smart Charles K
来源:Calculus of Variations and Partial Differential Equations, 2010, 37(3-4): 381-384.
DOI:10.1007/s00526-009-0267-9

摘要

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.

  • 出版日期2010-3