Existence of multiple positive solutions for nonhomogeneous elliptic problems in RN

被引：3

作者：

Li, Tiexiang ^{[1
]}

Wu, Tsung-fang ^{[2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 211189, Jiangsu, Peoples R China

[2] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung 811, Taiwan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 14期

关键词：

Nonhomogeneous elliptic problems; Palais-Smale; Multiple positive solutions; CONCENTRATION-COMPACTNESS PRINCIPLE; EQUATIONS; CALCULUS; SYMMETRY;

D O I：

10.1016/j.na.2012.05.012

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 of positive solutions for the nonhomogeneous elliptic problem: -Delta u + lambda u = f (x) u(p-1) + mu h (x) in R-N. We will show how the shape of the graph of f (x) affects the number of positive solutions. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：5639 / 5652

页数：14

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