Everywhere differentiability of infinity harmonic functions

被引：75

作者：

Evans, Lawrence C. ^{[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 | 2011年 / 42卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

LIPSCHITZ EXTENSIONS; 2; DIMENSIONS; REGULARITY;

D O I：

10.1007/s00526-010-0388-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that an infinity harmonic function, that is, a viscosity solution of the nonlinear PDE -Delta(infinity)u = -u(xi)u(xj)u(xixj) = 0, is everywhere differentiable. Our new innovation is proving the uniqueness of appropriately rescaled blow-up limits around an arbitrary point.

引用

页码：289 / 299

页数：11

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