C1,α supercript stop regularity for infinity harmonic functions in two dimensions

被引：76

作者：

Evans, Lawrence C. ^{[1
]}

Savin, Ovidiu ^{[2
]}

机构：

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

[2] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 32卷 / 03期

基金：

美国国家科学基金会;

关键词：

35J60; 35J20;

D O I：

10.1007/s00526-007-0143-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a new method for showing C (1, alpha) regularity for solutions of the infinity Laplacian equation and provide full details of the proof in two dimensions. The proof for dimensions n >= 3 depends upon some conjectured local gradient estimates for solutions of certain transformed PDE.

引用

页码：325 / 347

页数：23

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