Multiplicity of positive solutions for a p-q-Laplacian system with concave and critical nonlinearities

被引：15

作者：

Li, Qin ^{[1
]}

Yang, Zuodong ^{[1
,2
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Sch Teacher Educ, Nanjing 210097, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 423卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Multiplicity; p-q-Laplacian system; Concave and critical nonlinearities; Positive solutions; LINEAR ELLIPTIC SYSTEM; EXISTENCE; EQUATION;

D O I：

10.1016/j.jmaa.2014.10.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a p-q-Laplacian system with concave and Sobolev critical nonlinearities. By using the Nehari manifold, fibering maps and the Lusternik-Schnirelman category, we prove that the problem has at least cat(Omega) + 1 distinct positive solutions, where cat(Omega) denotes the Lusternik-Schnirelman category of Omega in itself. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：660 / 680

页数：21

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