Sign changing solutions and multiple solutions of an elliptic eigenvalue problem with constraint in H1(RN)

被引：5
|
作者：
Liu, Jingkun [1 ]
Chen, Jianqing [1 ]
机构：
[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 08期
关键词：
Elliptic eigenvalue problem; Sign changing solutions; Multiple solutions; Pseudo-gradient vector field; SCHRODINGER-EQUATIONS;
D O I：
10.1016/j.camwa.2010.02.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the existence of sign changing solutions and multiple solutions of a semilinear elliptic eigenvalue problem. One of the key points here is to construct nonempty invariant sets of the gradient flow which contain the positive and the negative solution of the problem. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：3005 / 3013
页数：9
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