Multiplicity of Solutions for an Elliptic Problem with Critical Sobolev-Hardy Exponents and Concave-Convex Nonlinearities

被引：0

作者：

Li, Juan ^{[1
]}

Tong, Yuxia ^{[2
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

[2] Hebei United Univ, Coll Sci, Tangshan 063009, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2014年 / 2014卷

基金：

中国国家自然科学基金;

关键词：

POSITIVE SOLUTIONS;

D O I：

10.1155/2014/180105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of multiple solutions for the following elliptic problem: -Delta(p)u - mu(vertical bar u vertical bar(p-2)u/vertical bar x vertical bar(p)) = (vertical bar u vertical bar(p)*(t)-2/vertical bar x vertical bar t)u + lambda(vertical bar u vertical bar(q-2)/vertical bar x vertical bar(s))u, u epsilon W-0(1,p)(Omega). We prove that if 1 <= q < p < N, then there is a mu(0), such that for any mu epsilon (0,mu(0)), the above mentioned problem possesses infinitely many weak solutions. Our result generalizes a similar result (Azorero and Alonso, 1991).

引用

页数：6

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