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

被引：76
|
作者：
Armstrong, Scott N. [1 ]
Smart, Charles K. [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 37卷 / 3-4期
关键词：
MINIMIZING LIPSCHITZ EXTENSIONS; LAPLACIAN; EQUATION;
D O I：
10.1007/s00526-009-0267-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：381 / 384
页数：4
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