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
  • [31] Multiple Positive Solutions for Kirchhoff-Type Problems Involving Supercritical and Critical Terms
    Deke Wu
    Hongmin Suo
    Jun Lei
    Qualitative Theory of Dynamical Systems, 2024, 23
  • [32] Multiple Positive Solutions for Kirchhoff-Type Problems Involving Supercritical and Critical Terms
    Wu, Deke
    Suo, Hongmin
    Lei, Jun
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (03)
  • [33] Existence and multiplicity of solutions for critical Kirchhoff-type p-Laplacian problems
    Wang, Li
    Xie, Kun
    Zhang, Binlin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 458 (01) : 361 - 378
  • [34] Ground-state solutions to Kirchhoff-type transmission problems with critical perturbation
    Li, Fuyi
    Zhang, Ying
    Zhu, Xiaoli
    Liang, Zhanping
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 482 (02)
  • [35] Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations
    Jung-Hyun Bae
    Jae-Myoung Kim
    Jongrak Lee
    Kisoeb Park
    Boundary Value Problems, 2019
  • [36] The Multiplicity of Nontrivial Solutions for a New p(x)-Kirchhoff-Type Elliptic Problem
    Chu, Chang-Mu
    Xiao, Yu-Xia
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [37] Infinitely many positive solutions for Kirchhoff-type problems
    He, Xiaoming
    Zou, Wenming
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) : 1407 - 1414
  • [38] Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations
    Bae, Jung-Hyun
    Kim, Jae-Myoung
    Lee, Jongrak
    Park, Kisoeb
    BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)
  • [39] Ground state and nodal solutions for critical Schrödinger–Kirchhoff-type Laplacian problems
    Huabo Zhang
    Journal of Fixed Point Theory and Applications, 2021, 23
  • [40] Existence of ground state solutions for Kirchhoff-type problems involving critical Sobolev exponents
    Fan, Haining
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (01) : 371 - 385