Existence result for a class of singular quasilinear elliptic equations with critical growth

被引：0

作者：

Zhang, Guoqing ^{[1
,2
]}

Zhang, Weiguo ^{[1
]}

Wang, Yunkai ^{[3
]}

机构：

[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[3] Shanghai Univ Sci & Technol, Coll Management, Shanghai 200093, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 08期

关键词：

non-smooth functional; critical exponents; singular and indefinite potential;

D O I：

10.1016/j.na.2007.01.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the existence of a nontrivial solution for a class of singular quasilinear elliptic equations with critical exponents. The proofs rely on a non-smooth critical point theory, and some techniques used by Brezis and Nirenberg. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2204 / 2215

页数：12

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