Nontrivial solutions for discrete Kirchhoff-type problems with resonance via critical groups

被引:0
|
作者
Jinping Yang
Jinsheng Liu
机构
[1] Taiyuan University of Technology,College of Mathematics
关键词
discrete Kirchhoff-type problem; variational method; critical point; critical group;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we study the existence of nontrivial solutions for discrete Kirchhoff-type problems with resonance at both zero and infinity by using variational methods and the computations of critical groups.
引用
收藏
相关论文
共 50 条
  • [21] Multiplicity of nontrivial solutions for a class of nonlinear Kirchhoff-type equations
    Liu, Hongliang
    Chen, Haibo
    Yuan, Yueding
    BOUNDARY VALUE PROBLEMS, 2015,
  • [22] EXISTENCE OF SOLUTIONS FOR KIRCHHOFF-TYPE PROBLEMS VIA THE METHOD OF LOWER AND UPPER SOLUTIONS
    Yan, Baoqiang
    O'Regan, Donal
    Agarwal, Ravi P.
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
  • [23] Nontrivial Solutions for Asymmetric Kirchhoff Type Problems
    Pei, Ruichang
    Zhang, Jihui
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [24] Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems
    Bitao Cheng
    Xian Wu
    Jun Liu
    Boundary Value Problems, 2010
  • [25] Least energy sign-changing solutions for discrete Kirchhoff-type problems
    Long, Yuhua
    APPLIED MATHEMATICS LETTERS, 2024, 150
  • [26] Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems
    Cheng, Bitao
    Wu, Xian
    Liu, Jun
    BOUNDARY VALUE PROBLEMS, 2010,
  • [27] Nontrivial Solutions of the Kirchhoff-Type Fractionalp-Laplacian Dirichlet Problem
    Chen, Taiyong
    Liu, Wenbin
    Jin, Hua
    JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [28] Existence of nontrivial solutions for Kirchhoff-type variational inclusion system in RN
    Duan, Lian
    Huang, Lihong
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 235 : 174 - 186
  • [29] Three Nontrivial Solutions for Kirchhoff-Type Variational-Hemivariational Inequalities
    Chu, Jifeng
    Gharehgazlouei, Fariba
    Heidarkhani, Shapour
    Solimaninia, Arezoo
    RESULTS IN MATHEMATICS, 2015, 68 (1-2) : 71 - 91
  • [30] Multiplicity of nontrivial solutions for system of nonhomogenous Kirchhoff-type equations in RN
    Cheng, Bitao
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (11) : 2336 - 2348