On critical singular quasilinear elliptic problem when n = p

被引：3

作者：

Yao, YX ^{[1
]}

Shen, YT ^{[1
]}

机构：

[1] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2006年 / 26卷 / 02期

关键词：

elliptic equation; Hardy inequality; critical singularity; Mountain Pass Lemma;

D O I：

10.1016/S0252-9602(06)60043-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article deals with the problem -Delta(p)u = lambda \u\(p-2)u/\x\(p) ln(p) R/\x\ + f(x, u), x is an element of Omega; u = 0, x is an element of partial derivative Omega, where n = p. The authors prove that a Hardy inequality and the constant (p/p-1)(p) optimal. They also prove the existence of a nontrivial solution of the above mentioned problem by using the Mountain Pass Lemma.

引用

页码：209 / 219

页数：11

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