Multiple solutions for some nonlinear Schrodinger equations with indefinite linear part

被引：10

作者：

Wang, Feizhi ^{[1
]}

机构：

[1] Yantai Univ, Dept Math, Yantai 264005, Shangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 331卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Schrodinger equation; linking theorem; (del)-theorem; orthogonalization technique;

D O I：

10.1016/j.jmaa.2006.09.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of nonlinear Schrodinger equation with indefinite linear part in R-N. We prove that the problem has at least three nontrivial solutions by means of Linking Theorem and (del)-Theorem. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1001 / 1022

页数：22

共 50 条

[1] Multiple solutions of Schrodinger equations with indefinite linear part and super or asymptotically linear terms
Ding, YH
Lee, C
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 222 (01) : 137 - 163
[2] Ground state solutions for asymptotically periodic Schrodinger equations with indefinite linear part
Zhang, Hui
Xu, Junxiang
Zhang, Fubao
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (01) : 113 - 122
[3] Multiple solutions to some singular nonlinear Schrodinger equations
Lazzo, Monica
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,
[4] On a class of semilinear Schrodinger equations with indefinite linear part
Zhang, Hui
Xu, Junxiang
Zhang, Fubao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 414 (02) : 710 - 724
[5] On a class of Schrodinger equations in RN with indefinite linear part
Huang, Yisheng
Wang, Feizhi
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) : 4504 - 4513
[6] Entire Solutions to Nonlinear Scalar Field Equations with Indefinite Linear Part
Evequoz, Gilles
Weth, Tobias
ADVANCED NONLINEAR STUDIES, 2012, 12 (02) : 281 - 314
[7] Multiple nontrivial solutions for a class of nonlinear Schrodinger equations with linear coupling
Wang, Jun
Feng, Zhaosheng
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2017, 14 (02) : 159 - 200
[8] Multiple solutions for Schrodinger-Kirchhoff equations with indefinite potential
Jiang, Shuai
Liu, Shibo
APPLIED MATHEMATICS LETTERS, 2022, 124
[9] Multiple solutions for a class of nonlinear Schrodinger equations
Ding, YH
Luan, SX
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 207 (02) : 423 - 457
[10] Exact analytic solutions of Schrodinger linear and nonlinear equations
Kougias, I. E.
Louvros, S.
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (08) : 2457 - 2462

← 1 2 3 4 5 →