C1 regularity for infinity harmonic functions in two dimensions

被引：104

作者：

Savin, O ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2005年 / 176卷 / 03期

关键词：

D O I：

10.1007/s00205-005-0355-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A continuous function u : Omega -> R, Omega subset of R-n is said to be "infinity harmonic" if it satisfies the PDE [GRAPHICS] in the viscosity sense. In this paper we prove that infinity harmonic functions are continuously differentiable when n = 2.

引用

页码：351 / 361

页数：11

共 6 条

[1] EXTENSION OF FUNCTIONS SATISFYING LIPSCHITZ CONDITIONS [J].