GROUND AND BOUND STATES OF PERIODIC SCHRODINGER EQUATIONS WITH SUPER OR ASYMPTOTICALLY LINEAR TERMS

被引：0
|
作者：
Wu, Qingfang [1 ]
Qin, Dongdong [2 ]
机构：
[1] Cent S Univ, Sch Traff & Transportat Engn, Changsha 410075, Hunan, Peoples R China
[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年
关键词：
Schrodinger equations; minimax characterization; perturbation method; Nehari-Pankov manifold; ground states; HARMONIC MAXWELL EQUATIONS; MULTIPLE SOLUTIONS; ZERO; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with existence of ground and bound states for a class of nonlinear Schrodinger equation with periodic potential. We impose general assumptions on the nonlinearity with super or asymptotically linear growth, and find some refinements of known results and new results by using the perturbation method and a mountain pass argument. In particular, a critical point theory is established for the asymptotically linear growth case.
引用
收藏
页数：26
相关论文
共 50 条
  • [31] Existence of Ground State Solutions for Generalized Quasilinear Schrodinger Equations with Asymptotically Periodic Potential
    Xue, Yan-Fang
    Yu, Li-Ju
    Han, Jian-Xin
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (03)
  • [32] GROUND STATE SOLUTIONS FOR ASYMPTOTICALLY PERIODIC LINEARLY COUPLED SCHRODINGER EQUATIONS WITH CRITICAL EXPONENT
    Chen, Sitong
    Tang, XianHua
    Li, Jianxiong
    KODAI MATHEMATICAL JOURNAL, 2017, 40 (03) : 562 - 576
  • [33] A positive ground state solution for a class of asymptotically periodic Schrodinger equations with critical exponent
    Liu, Jiu
    Liao, Jia-Feng
    Tang, Chun-Lei
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (07) : 1851 - 1864
  • [34] Ground states for a class of asymptotically periodic Schrodinger-Poisson systems with critical growth
    Wang, Da-Bin
    Xie, Hua-Fei
    Guan, Wen
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (97) : 1 - 18
  • [35] Global bifurcation for asymptotically linear Schrodinger equations
    Genoud, Francois
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2013, 20 (01): : 23 - 35
  • [36] Quasilinear Schrodinger Equations with Asymptotically Linear Nonlinearities
    Furtado, Marcelo F.
    Silva, Edcarlos D.
    Silva, Maxwell L.
    ADVANCED NONLINEAR STUDIES, 2014, 14 (03) : 671 - 686
  • [37] Existence of solutions for fractional Schrodinger equation with asymptotically periodic terms
    Wang, Da-Bin
    Guo, Man
    Guan, Wen
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 625 - 636
  • [38] Quasilinear asymptotically periodic Schrodinger equations with critical growth
    Silva, Elves A. B.
    Vieira, Gilberto F.
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 39 (1-2) : 1 - 33
  • [39] Quasilinear asymptotically periodic Schrodinger equations with subcritical growth
    Silva, Elves A. B.
    Vieira, Gilberto F.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) : 2935 - 2949
  • [40] PERIODIC DISCRETE NONLINEAR SCHRODINGER EQUATIONS WITH PERTURBED AND SUB-LINEAR TERMS
    Yang, Jie
    Chen, Guanwei
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (06): : 2220 - 2229
12345