Multiplicity of solutions for a class of semilinear Schrodinger equations with sign-changing potential

被引：29
|
作者：
Zhang, Qingye [1 ]
Xu, Bin [2 ]
机构：
[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Peoples R China
[2] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 377卷 / 02期
关键词：
Schrodinger equation; Superquadratic; Sign-changing potential; SCALAR FIELD-EQUATIONS; EXISTENCE; R(N);
D O I：
10.1016/j.jmaa.2010.11.059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of infinitely many nontrivial solutions for a class of semilinear Schrodinger equations -Delta u + V(x)u = f (x, u), x epsilon R-N, where the primitive of the nonlinearity f is of superquadratic growth near infinity in u and the potential V is allowed to be sign-changing. (c) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：834 / 840
页数：7
相关论文
共 50 条
  • [11] Curves of sign-changing solutions for semilinear equations
    Korman, P
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (05) : 801 - 820
  • [12] On nontrivial solutions of nonlinear Schrodinger equations with sign-changing potential
    Chen, Wei
    Wu, Yue
    Jhang, Seongtae
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [13] MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC EQUATIONS IN RN
    He, Xiumei
    Wu, Xian
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (01): : 12 - 30
  • [14] Multiplicity and existence of solutions for generalized quasilinear Schrodinger equations with sign-changing potentials
    Huang, Chen
    BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
  • [15] Existence and Multiplicity Results for a Class of Nonlinear Schrodinger Equations with Magnetic Potential Involving Sign-Changing Nonlinearity
    de Paiva, Francisco Odair
    de Souza Lima, Sandra Machado
    Miyagaki, Olimpio Hiroshi
    ANALYSIS IN THEORY AND APPLICATIONS, 2022, 38 (02): : 148 - 177
  • [16] On the existence of signed and sign-changing solutions for a class of superlinear Schrodinger equations
    do O, Jodo Marcos
    Medeiros, Everaldo
    Severo, Uberlandio
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (01) : 432 - 445
  • [17] MULTIPLE SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS WITH SIGN-CHANGING POTENTIAL AND NONLINEARITY
    Qin, Dongdong
    Tang, Xianhua
    Zhang, Jiang
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [18] Ground state sign-changing solutions for a class of quasilinear Schrodinger equations
    Zhu, Wenjie
    Chen, Chunfang
    OPEN MATHEMATICS, 2021, 19 (01): : 1746 - 1754
  • [19] Multiple Sign-Changing Solutions for a Class of Schrodinger Equations with Saturable Nonlinearity
    Liu, Zhongyuan
    ACTA MATHEMATICA SCIENTIA, 2021, 41 (02) : 493 - 504
  • [20] Sign-Changing Solutions for a Class of Zero Mass Nonlocal Schrodinger Equations
    Ambrosio, Vincenzo
    Figueiredo, Giovany M.
    Isernia, Teresa
    Bisci, Giovanni Molica
    ADVANCED NONLINEAR STUDIES, 2019, 19 (01) : 113 - 132
12345