Infinitely many solutions for quasilinear Schrodinger equation with general superlinear nonlinearity

被引：0
|
作者：
Li, Jiameng [1 ]
Chen, Huiwen [1 ,3 ]
He, Zhimin [2 ]
Ouyang, Zigen [1 ,3 ]
机构：
[1] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
[3] Univ South China, Hunan Key Lab Math Modeling & Sci Comp, Hengyang 421001, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2023年 / 2023卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Quasilinear Schrodinger equation; Sign-changing potential; Mountain pass theorem; GROUND-STATE SOLUTIONS; ELLIPTIC-EQUATIONS; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; SOLITON-SOLUTIONS; EXISTENCE;
D O I：
10.1186/s13661-023-01755-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the quasilinear Schrodinger equation Delta(u) + V(x)u -Delta(u(2))u = g(x, u), x epsilon R-N, where the potential V(x) and the primitive of g(x, u) are allowed to be sign-changing. Under more general superlinear conditions on g, we obtain the existence of infinitely many nontrivial solutions by using the mountain pass theorem. Recent results in the literature are significantly improved.
引用
收藏
页数：14
相关论文
共 50 条
  • [21] Infinitely Many Normalized Solutions for a Quasilinear Schrödinger Equation
    Yang, Xianyong
    Zhao, Fukun
    JOURNAL OF GEOMETRIC ANALYSIS, 2025, 35 (02)
  • [22] Infinitely many solutions for quasilinear Schrodinger systems with finite and sign-changing potentials
    Guo, Yuxia
    Nie, Jianjun
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (02):
  • [23] Infinitely many solutions to quasilinear Schrodinger equations with critical exponent
    Wang, Li
    Wang, Jixiu
    Li, Xiongzheng
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2019, (05) : 1 - 16
  • [24] Existence of infinitely many solutions for a quasilinear elliptic equation
    Zhang, Jian
    Tang, Xianhua
    Zhang, Wen
    APPLIED MATHEMATICS LETTERS, 2014, 37 : 131 - 135
  • [25] Ground State Solutions for a Quasilinear Schrodinger Equation
    Zhang, Jian
    Lin, Xiaoyan
    Tang, Xianhua
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (02)
  • [26] INFINITELY MANY SOLUTIONS FOR QUASILINEAR SCHRODINGER EQUATIONS UNDER BROKEN SYMMETRY SITUATION
    Zhang, Liang
    Tang, Xianhua
    Chen, Yi
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2016, 48 (02) : 539 - 554
  • [27] Positive solutions for a class of quasilinear Schrodinger equations with superlinear condition
    Chen, Jianhua
    Huang, Xianjiu
    Cheng, Bitao
    APPLIED MATHEMATICS LETTERS, 2019, 87 : 165 - 171
  • [28] Multiplicity of Positive Solutions for a Quasilinear Schrodinger Equation with an Almost Critical Nonlinearity
    Figueiredo, Giovany M.
    Severo, Uberlandio B.
    Siciliano, Gaetano
    ADVANCED NONLINEAR STUDIES, 2020, 20 (04) : 933 - 963
  • [29] Infinitely many solutions for critical quasilinear equations involving Hardy potential
    Gao, Fengshuang
    Guo, Yuxia
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020, 22 (03)
  • [30] EXISTENCE RESULTS FOR QUASILINEAR SCHRODINGER EQUATIONS WITH A GENERAL NONLINEARITY
    Liu, Haidong
    Zhao, Leiga
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (06) : 3429 - 3444
12345