Singular solutions to p-Laplacian type equations

被引：14

作者：

Kilpeläinen, T ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math, FI-40351 Jyvaskyla, Finland

来源：

ARKIV FOR MATEMATIK | 1999年 / 37卷 / 02期

基金：

芬兰科学院;

关键词：

D O I：

10.1007/BF02412215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct singular solutions to equations div A(x, del u) = 0, similar to the p-laplacian, that tend to infinity on a given closed set of p-capacity zero. Moreover, we show that every G(delta)-set of vanishing p-capacity is the infinity set of some A-superharmonic function.

引用

页码：275 / 289

页数：15

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