Existence of multiple positive solutions for a p-q-Laplacian system with critical nonlinearities

被引：9

作者：

Yin, Honghui ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223001, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 403卷 / 01期

关键词：

p-q-Laplacian system; Critical exponent; Contractible sets; Positive solution; CONVEX NONLINEARITIES; ELLIPTIC SYSTEM; DOMAIN TOPOLOGY; EQUATION; CONCAVE; NUMBER;

D O I：

10.1016/j.jmaa.2013.02.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, our main purpose is to establish the existence of multiple positive solutions of a p-q-Laplacian system with convex and Sobolev critical nonlinearities by some standard variational methods, whose key is to construct homotopies between Omega and levels of the functional J(lambda 0), and some analytical techniques. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：200 / 214

页数：15

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