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] Multiple solutions for the semilinear elliptic equations with the sign-changing logarithmic nonlinearity
Tian, Shuying
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 454 (02) : 816 - 828
[22] MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH CRITICAL EXPONENTS IN RN
Gao, Fengshuang
Guo, Yuxia
PACIFIC JOURNAL OF MATHEMATICS, 2021, 310 (01) : 49 - 83
[23] Multiple positive solutions for a class of concave-convex elliptic problems in RN involving sign-changing weight, II
Huang, Yisheng
Wu, Tsung-Fang
Wu, Yuanze
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2015, 17 (05)
[24] MULTIPLE SOLUTIONS FOR ELLIPTIC PROBLEM IN RN WITH CRITICAL SOBOLEV EXPONENT AND WEIGHT FUNCTION
Miotto, M. L.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2010, 9 (01) : 233 - 248
[25] EXISTENCE OF MULTIPLE SIGN-CHANGING SOLUTIONS FOR AN ASYMPTOTICALLY LINEAR ELLIPTIC PROBLEM AND THE TOPOLOGY OF THE CONFIGURATION SPACE OF THE DOMAIN
Shioji, Naoki
ADVANCES IN DIFFERENTIAL EQUATIONS, 2012, 17 (5-6) : 471 - 510
[26] Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero
Zhang, ZT
Li, XD
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 178 (02) : 298 - 313
[27] Sign Changing Solutions for Coupled Critical Elliptic Equations
Wang, Xin
Yue, Xiaorui
JOURNAL OF FUNCTION SPACES, 2020, 2020
[28] Sign-Changing Solutions for Resonant and Superlinear Nonhomogeneous Elliptic Equations
He, Tieshan
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (06)
[29] Constant Sign and Sign Changing Solutions for Systems of Quasilinear Elliptic Equations
Dumitru Motreanu
Zhitao Zhang
Set-Valued and Variational Analysis, 2011, 19 : 255 - 269
[30] Multiple Solutions to Elliptic Equations on RN with Combined Nonlinearities
Yang, Miaomiao
Li, Anran
ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 5 →