Homoclinic Solutions for Partial Difference Equations with Mixed Nonlinearities

被引：9
|
作者：
Mei, Peng [1 ,2 ]
Zhou, Zhan [1 ,2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Homoclinic solution; Partial difference equation; Discrete nonlinear Schrodinger equation; Critical point theory; SCHRODINGER-EQUATION; GAP SOLITONS; DISCRETE; BREATHERS; STABILITY; EXISTENCE; OSCILLATION;
D O I：
10.1007/s12220-022-01166-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a class of partial difference equations with sign-changing mixed nonlinearities and unbounded potentials. Some sufficient conditions for the existence and multiplicity of homoclinic solutions are obtained by using critical point theory. Even for ordinary difference equations, our results significantly improve some existing ones.
引用
收藏
页数：18
相关论文
共 50 条
  • [1] Homoclinic Solutions for Partial Difference Equations with Mixed Nonlinearities
    Peng Mei
    Zhan Zhou
    The Journal of Geometric Analysis, 2023, 33
  • [2] Homoclinic solutions in periodic difference equations with mixed nonlinearities
    Lin, Genghong
    Zhou, Zhan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (02) : 245 - 260
  • [3] HOMOCLINIC SOLUTIONS OF DISCRETE φ-LAPLACIAN EQUATIONS WITH MIXED NONLINEARITIES
    Lin, Genghong
    Zhou, Zhan
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (05) : 1723 - 1747
  • [4] Homoclinic solutions of a class of periodic difference equations with asymptotically linear nonlinearities
    Kuang, Juhong
    Guo, Zhiming
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 89 : 208 - 218
  • [5] Homoclinic solutions of discrete prescribed mean curvature equations with mixed nonlinearities
    Mei, Peng
    Zhou, Zhan
    APPLIED MATHEMATICS LETTERS, 2022, 130
  • [6] Homoclinic solutions in non-periodic discrete φ-Laplacian equations with mixed nonlinearities
    Lin, Genghong
    Zhou, Zhan
    APPLIED MATHEMATICS LETTERS, 2017, 64 : 15 - 20
  • [7] HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SCHRODINGER EQUATIONS WITH PARTIALLY SUBLINEAR NONLINEARITIES
    Lin, Genghong
    Yu, Jianshe
    Zhou, Zhan
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
  • [8] Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity
    Zhou, Zhan
    Yu, Jian She
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (09) : 1809 - 1822
  • [9] ON HOMOCLINIC SOLUTIONS OF NONLINEAR LAPLACIAN PARTIAL DIFFERENCE EQUATIONS WITH A PARAMETER
    Long, Yuhua
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (08): : 2489 - 2510
  • [10] Homoclinic solutions in periodic difference equations with saturable nonlinearity
    Zhou Zhan
    Yu JianShe
    Chen YuMing
    SCIENCE CHINA-MATHEMATICS, 2011, 54 (01) : 83 - 93
12345