Standing waves for discrete nonlinear Schrodinger equations: sign-changing nonlinearities

被引：19
|
作者：
Pankov, Alexander [1 ]
机构：
[1] Morgan State Univ, Dept Math, Baltimore, MD 21239 USA
来源：
APPLICABLE ANALYSIS | 2013年 / 92卷 / 02期
关键词：
discrete nonlinear Schrodinger equation; standing wave; critical point theory; 37L60; 39A12; 39A70; 47J30; GAP SOLITONS; EXISTENCE; LATTICES;
D O I：
10.1080/00036811.2011.609987
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the discrete nonlinear Schrodinger equation with infinitely growing potential and sign-changing power nonlinearity. Making use of critical point theory, we prove an existence and multiplicity result for standing wave solutions.
引用
收藏
页码：308 / 317
页数：10
相关论文
共 50 条
  • [31] Sign-changing solutions for quasilinear Schrodinger equations with restraint
    Xiong, Ming
    Liu, Xiangqing
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 86 : 1 - 11
  • [32] Breather solutions of the discrete nonlinear Schrodinger equations with sign changing nonlinearity
    Zhang, Guoping
    JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (04)
  • [33] Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities
    Alberto Cabada
    Nikolay D. Dimitrov
    Advances in Difference Equations, 2019
  • [34] Sign-changing solutions to a gauged nonlinear Schrodinger equation
    Li, Gongbao
    Luo, Xiao
    Shuai, Wei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 455 (02) : 1559 - 1578
  • [35] Standing Waves for Discrete Nonlinear Schrodinger Equations with Nonperiodic Bounded Potentials
    He, Tie-shan
    Zhang, Meng
    Liang, Kai-hao
    Guo, Peng-fei
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 35 (02): : 374 - 385
  • [36] Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities
    Cabada, Alberto
    Dimitrov, Nikolay D.
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [37] Discrete nonlinear Schrodinger equations with superlinear nonlinearities
    Chen, Guanwei
    Ma, Shiwang
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5496 - 5507
  • [38] On sign-changing solutions for nonlinear operator equations
    Li, Fuyi
    Liang, Zhanping
    Zhang, Qi
    Li, Yuhua
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) : 1010 - 1028
  • [39] Sign-changing solutions of nonlinear elliptic equations
    Liu, Zhaoli
    Wang, Zhi-Qiang
    FRONTIERS OF MATHEMATICS IN CHINA, 2008, 3 (02) : 221 - 238
  • [40] Sign-changing solutions of nonlinear elliptic equations
    Zhaoli Liu
    Zhi-Qiang Wang
    Frontiers of Mathematics in China, 2008, 3 : 221 - 238
12345