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.
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页码：275 / 289
页数：15
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