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

An easy proof of Jensen’s theorem on the uniqueness of infinity harmonic functions
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DOI:
10.1007/s00526-009-0267-9
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发表时间:
2009-06
影响因子:
2.1
通讯作者:
S. Armstrong;Charles K. Smart
S. Armstrong;Charles K. Smart
中科院分区:
数学2区
文献类型:
--
作者:
S. Armstrong;Charles K. Smart

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我们提出了关于无穷调和函数唯一性的詹森定理的新的、简单的、基本的证明。这个想法是通过在小球上取最大值和最小值来传递有限差分方程。
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.