Multiple positive solutions for semi-linear elliptic systems with sign-changing weight

被引：11

作者：

Fan, Haining ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 409卷 / 01期

关键词：

Nehari manifold; Critical Sobolev exponent; Semi-linear elliptic system; Lusternik-Schnirelmann category; Multiple positive solutions; NEHARI MANIFOLD; EQUATIONS; CONCAVE;

D O I：

10.1016/j.jmaa.2013.07.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the multiplicity results of positive solutions for a semi-linear elliptic system involving both concave convex and critical growth terms. With the help of the Nehari manifold and the Lusternik Schnirelmann category, we investigate how the coefficient h(x) of the critical nonlinearity affects the number of positive solutions of that problem and get a relationship between the number of positive solutions and the topology of the global maximum set of h. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：399 / 408

页数：10

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