Existence and multiplicity of solutions to a singular elliptic system with critical Sobolev-Hardy exponents and concave-convex nonlinearities

被引：12

作者：

Nyamoradi, Nemat ^{[1
]}

机构：

[1] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 396卷 / 01期

关键词：

Nehari manifold; Critical Hardy-Sobolev exponent; Elliptic system; Multiple positive solutions; Concave-convex nonlinearities; POSITIVE SOLUTIONS; NEHARI MANIFOLD; EQUATION; INEQUALITIES;

D O I：

10.1016/j.jmaa.2012.06.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a singular elliptic system, which involves the Caffarelli-Kohn-Nirenberg inequality and critical Sobolev-Hardy exponents. The existence and multiplicity results of positive solutions are obtained by variational methods. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：280 / 293

页数：14

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