ON THE REGULARITY OF SOLUTIONS OF THE INHOMOGENEOUS INFINITY LAPLACE EQUATION

被引：0

作者：

Lindgren, Erik ^{[1
]}

机构：

[1] Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 01期

关键词：

HARMONIC-FUNCTIONS; 2; DIMENSIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the inhomogeneous infinity Laplace equation and prove that for bounded and continuous inhomogeneities, any blow-up is linear but not necessarily unique. If, in addition, the inhomogeneity is assumed to be C-1, then we prove that any solution is differentiable, i.e., that any blow-up is unique.

引用

页码：277 / 288

页数：12

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