Existence and multiplicity of positive solutions for a class of nonlinear boundary value problems

被引：15
作者：
Wu, Tsung-fang [1 ]
机构：
[1] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung 811, Taiwan
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 05期
关键词：
Lusternik-Schnirelman category; Positive solutions; Nonlinear boundary value problems; SEMILINEAR ELLIPTIC EQUATION; LEAST-ENERGY SOLUTIONS; R-+(N);
D O I：
10.1016/j.jde.2011.12.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a class of nonlinear boundary value problems in R-+(N). By means of minimax method and the Lusternik-Schnirelman category, the criteria of the existence, multiplicity and nonexistence of positive solutions are established. (C) 2011 Elsevier Inc. All rights reserved.
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收藏
页码：3403 / 3435
页数：33
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