Solutions of Perturbed Fractional Schrodinger-Poisson System with Critical Nonlinearity in R3

被引:0
|
作者
Zheng, Lvzhou [1 ]
机构
[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2021年 / 25卷 / 04期
基金
中国国家自然科学基金;
关键词
fractional Schrodinger-Poisson system; critical nonlinearity; variational methods; EXISTENCE; EQUATIONS; STATES;
D O I
10.11650/tjm/201204
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the existence of semiclassical solutions of the fractional Schrodinger-Poisson system with critical exponent in R-3. Under suitable assumptions, we show that the problem has at least one nontrivial solution provided that is an element of <= epsilon(delta) where epsilon(delta) is sufficiently small positive number.
引用
收藏
页码:775 / 791
页数:17
相关论文
共 50 条
  • [41] MULTIPLE POSITIVE SOLUTIONS FOR SCHRODINGER-POISSON SYSTEM IN R3 INVOLVING CONCAVE-CONVEX NONLINEARITIES WITH CRITICAL EXPONENT
    Li, Miao-Miao
    Tang, Chun-Lei
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2017, 16 (05) : 1587 - 1602
  • [42] Bound state nodal solutions for the non-autonomous Schrodinger-Poisson system in R3
    Sun, Juntao
    Wu, Tsung-fang
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (11) : 7121 - 7163
  • [43] Existence and concentration of positive solutions for semilinear Schrodinger-Poisson systems in R3
    Wang, Jun
    Tian, Lixin
    Xu, Junxiang
    Zhang, Fubao
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2013, 48 (1-2) : 243 - 273
  • [44] INFINITELY MANY BOUND STATE SOLUTIONS OF SCHRODINGER-POISSON EQUATIONS IN R3
    Zhang, Xu
    Ma, Shiwang
    Xie, Qilin
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (04): : 1239 - 1259
  • [45] Existence and Multiplicity of Solutions for a Fractional Schrodinger-Poisson System with Subcritical or Critical Growth
    Gu, Guangze
    Mu, Changyang
    Yang, Zhipeng
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (02)
  • [46] Multiplicity of positive solutions for the fractional Schrodinger-Poisson system with critical nonlocal term
    Dou, Xilin
    He, Xiaoming
    Radulescu, Vicentiu D.
    BULLETIN OF MATHEMATICAL SCIENCES, 2024, 14 (02)
  • [47] The concentration behavior of ground state solutions for a critical fractional Schrodinger-Poisson system
    Yang, Zhipeng
    Yu, Yuanyang
    Zhao, Fukun
    MATHEMATISCHE NACHRICHTEN, 2019, 292 (08) : 1837 - 1868
  • [48] Multiple Positive Solutions for Fractional Schrodinger-Poisson System with Doubly Critical Exponents
    Jiang, Wei
    Liao, Jia-Feng
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (01)
  • [49] On the number of concentrating solutions of a fractional Schrodinger-Poisson system with doubly critical growth
    Qu, Siqi
    He, Xiaoming
    ANALYSIS AND MATHEMATICAL PHYSICS, 2022, 12 (02)
  • [50] Multiple Solutions for a Class of Fractional Schrodinger-Poisson System
    Chen, Lizhen
    Li, Anran
    Wei, Chongqing
    JOURNAL OF FUNCTION SPACES, 2019, 2019