Existence of entire positive solutions for a critical system of nonlinear elliptic equations

被引：2

作者：

Benmouloud, Samira ^{[1
]}

Echarghaoui, Rachid ^{[1
]}

Sbai, Si. Mohammed ^{[1
]}

机构：

[1] Univ Ibn Tofail, Fac Sci, Dept Math, EGAL, Kenitra, Morocco

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 17期

关键词：

Elliptic systems; Critical Sobolev exponents; Palais-Smale sequences; COMPACTNESS;

D O I：

10.1016/j.na.2011.06.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using the fibering method introduced by Pohozaev, we establish an existence of multiple nontrivial positive solutions for a system of nonlinear elliptic equations in R-N with lack of compactness studying the properties of Palais-Smale sequence of the energy functional associated with the system. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：6397 / 6404

页数：8

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