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.

引用

页码：3005 / 3013

页数：9

共 50 条

[21] On the profile of the changing sign mountain pass solutions for an elliptic problem
Dancer, EN
Yan, SS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (09) : 3573 - 3600
[22] Infinitely many sign-changing solutions for a quasilinear elliptic equation in RN
Zhang, Wei
Liu, Xiangqing
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 427 (02) : 722 - 740
[23] Existence of solutions for a semilinear elliptic equation in RN with sign-changing weight
Yang, Jianfu
Yu, Xiaohui
ADVANCED NONLINEAR STUDIES, 2008, 8 (02) : 401 - 412
[24] Infinitely Many Sign-changing Solutions for Quasilinear Elliptic Systems in RN
Zhang, Wei
Liu, Xiangqing
ADVANCED NONLINEAR STUDIES, 2015, 15 (04) : 991 - 1014
[25] Energy bound for sign changing solutions of an asymptotically linear elliptic equation in RN
Wang, Jiangchao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (13) : 4474 - 4480
[26] Multiple solutions with changing sign energy to a nonlinear elliptic equation
EL Hamidi, A
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2004, 3 (02) : 253 - 265
[27] THE SIGN-CHANGING SOLUTIONS FOR A CLASS OF NONLOCAL ELLIPTIC PROBLEM IN AN ANNULUS
Yan, Baoqiang
An, Chao
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2020, 55 (01) : 1 - 18
[28] Large solutions for a semilinear elliptic problem with sign-changing weights
Qi, Shijie
Zhao, Peihao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 452 (02) : 1310 - 1331
[29] Positive solutions for a semilinear elliptic problem with sign-changing nonlinearity
Afrouzi, GA
Brown, KJ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (04) : 507 - 510
[30] Positive solutions for a semilinear elliptic problem with sign-changing nonlinearity
Mazandaran Univ, Babolsar, Iran
Nonlinear Anal Theory Methods Appl, 4 (507-510):

← 1 2 3 4 5 →