Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions

被引：0
|
作者：
Liqian Jia
Jun Chen
Guanwei Chen
机构：
[1] University of Jinan,School of Mathematical Sciences
[2] China University Of Mining And Technology,Sun Yueqi Honors College
来源：
Advances in Difference Equations | / 2017卷
关键词：
discrete nonlinear Schrödinger equations; variational methods; Superlinear; homoclinic solutions; 35Q51; 35Q55; 39A12; 39A70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Using variational methods, we study the existence and multiplicity of homoclinic solutions for a class of discrete Schrödinger equations in infinite m-dimensional lattices with nonlinearities being superlinear at infinity. Our results generalize some existing results in the literature by using some weaker conditions.
引用
收藏
相关论文
共 50 条
  • [1] Discrete Schrdinger equations in the nonperiodic and superlinear cases: homoclinic solutions
    Jia, Liqian
    Chen, Jun
    Chen, Guanwei
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [2] Multiple homoclinic solutions for discrete Schrödinger equations with perturbed and sublinear terms
    Guanwei Chen
    Martin Schechter
    [J]. Zeitschrift für angewandte Mathematik und Physik, 2021, 72
  • [3] Infinitely many homoclinic solutions for fractional discrete Kirchhoff–Schrödinger equations
    Chunming Ju
    Giovanni Molica Bisci
    Binlin Zhang
    [J]. Advances in Continuous and Discrete Models, 2023
  • [4] Infinitely many homoclinic solutions for sublinear and nonperiodic Schrödinger lattice systems
    Guanwei Chen
    Jijiang Sun
    [J]. Boundary Value Problems, 2021
  • [5] Perturbed Schrödinger lattice systems with superlinear terms: Multiplicity of homoclinic solutions
    Guanwei Chen
    Shiwang Ma
    [J]. Calculus of Variations and Partial Differential Equations, 2021, 60
  • [6] Normalized solutions for the discrete Schrödinger equations
    Qilin Xie
    Huafeng Xiao
    [J]. Boundary Value Problems, 2023
  • [7] Standing Waves for Discrete Nonlinear Schrödinger Equations with Nonperiodic Bounded Potentials
    Tie-shan He
    Meng Zhang
    Kai-hao Liang
    Peng-fei Guo
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2019, 35 : 374 - 385
  • [8] Standing Waves for Discrete Nonlinear Schr?dinger Equations with Nonperiodic Bounded Potentials
    Tie-shan HE
    Meng ZHANG
    Kai-hao LIANG
    Peng-fei GUO
    [J]. Acta Mathematicae Applicatae Sinica, 2019, 35 (02) : 374 - 385
  • [9] On superlinear Schrödinger equations with periodic potential
    Shibo Liu
    [J]. Calculus of Variations and Partial Differential Equations, 2012, 45 : 1 - 9
  • [10] Existence and nonuniqueness of solutions for a class of asymptotically linear nonperiodic Schrödinger equations
    Dong-Lun Wu
    Fengying Li
    Hongxia Lin
    [J]. Journal of Fixed Point Theory and Applications, 2022, 24
12345