Global regularity for a singular equation and local H1 minimizers of a nondifferentiable functional

被引：12

作者：

Dávila, J ^{[1
]}

机构：

[1] Univ Chile, Ctr Modelamiento Matemat, Dept Ingn Matemat, Santiago, Chile

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2004年 / 6卷 / 01期

基金：

美国国家科学基金会;

关键词：

singular elliptic equation; gradient estimates;

D O I：

10.1142/S0219199704001240

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove optimal Holder estimates up to the boundary for the maximal solution of a singular elliptic equation. The techniques used in this argument are applied to show that in some situations the maximal solution is a local minimizer of the corresponding functional in the topology of H-1.

引用

页码：165 / 193

页数：29

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