The Nehari manifold for the Schrodinger-Poisson systems with steep well potential

被引:2
|
作者
Lou, Qing-Jun [1 ]
Han, Zhi-Qing [1 ]
机构
[1] Dalian Univ Technol, Sch Math Sci, Dalian, Peoples R China
关键词
Schrodinger-Poisson equation; concave-convex nonlinearities; concentration; steep well potential; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY; EQUATIONS;
D O I
10.1080/17476933.2018.1471070
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, via variational methods, we consider the existence and concentration of positive solutions for a system of Schrodinger-Poisson equation involving concave-convex nonlinearities under some suitable assumptions of weight functions.
引用
收藏
页码:586 / 605
页数:20
相关论文
共 50 条
  • [31] GENERALIZED SCHRODINGER-POISSON TYPE SYSTEMS
    Azzollini, Antonio
    d'Avenia, Pietro
    Luisi, Valeria
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (02) : 867 - 879
  • [32] Existence and asymptotic behavior for ground state sign-changing solutions of fractional Schrodinger-Poisson system with steep potential well
    Huang, Xiao Qing
    Liao, Jia Feng
    COMMUNICATIONS IN ANALYSIS AND MECHANICS, 2024, 16 (02): : 307 - 333
  • [33] Uniqueness for dissipative Schrodinger-Poisson systems
    Neidhardt, H
    Rehberg, J
    JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (11)
  • [34] BREATHING MODES FOR THE SCHRODINGER-POISSON SYSTEM WITH A MULTIPLE-WELL EXTERNAL POTENTIAL
    Nolasco, Margherita
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2010, 9 (05) : 1411 - 1419
  • [35] Multiple solutions for Schrodinger-Poisson systems with indefinite potential and combined nonlinearity
    Zhang, Qingye
    Xu, Bin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 455 (02) : 1668 - 1687
  • [36] The planar Schrodinger-Poisson system with a positive potential
    Azzollini, Antonio
    NONLINEARITY, 2021, 34 (08) : 5799 - 5820
  • [37] Ground state solutions of Schrodinger-Poisson systems with asymptotically constant potential
    Lin, Xiaoyan
    He, Yubo
    Tang, Xianhua
    ASYMPTOTIC ANALYSIS, 2021, 124 (1-2) : 29 - 49
  • [38] POSITIVE SOLUTIONS OF SCHRODINGER-POISSON SYSTEMS WITH HARDY POTENTIAL AND INDEFINITE NONLINEARITY
    Lan, Yongyi
    Tang, Biyun
    Hu, Xian
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, : 1 - 10
  • [39] FRACTIONAL SCHRODINGER-POISSON SYSTEMS WITH WEIGHTED HARDY POTENTIAL AND CRITICAL EXPONENT
    Su, Yu
    Chen, Haibo
    Liu, Senli
    Fang, Xianwen
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
  • [40] Schrodinger-Poisson system with potential of critical growth
    Hassani, Abdessamad
    Iskafi, Khalid
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2016, 9 (04)