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
来源：
Advances in Difference Equations | / 2013卷
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
  • [41] Perturbed Kirchhoff-type p-Laplacian discrete problems
    Shapour Heidarkhani
    Giuseppe Caristi
    Amjad Salari
    Collectanea Mathematica, 2017, 68 : 401 - 418
  • [42] The positive solutions for a class of Kirchhoff-type problems with critical Sobolev exponents on a bounded domain
    Zhu, Xiaoxue
    Fan, Haining
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (04) : 4090 - 4116
  • [43] Perturbed Kirchhoff-type p-Laplacian discrete problems
    Heidarkhani, Shapour
    Caristi, Giuseppe
    Salari, Amjad
    COLLECTANEA MATHEMATICA, 2017, 68 (03) : 401 - 418
  • [44] EXISTENCE AND CONCENTRATION OF POSITIVE SOLUTIONS FOR NONLINEAR KIRCHHOFF-TYPE PROBLEMS WITH A GENERAL CRITICAL NONLINEARITY
    Zhang, Jianjun
    Costa, David G.
    Joao Marcos, do O.
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2018, 61 (04) : 1023 - 1040
  • [45] On a critical Kirchhoff-type problem
    Faraci, Francesca
    Farkas, Csaba
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 192 (192)
  • [46] On the Nonhomogeneous Kirchhoff-type Problems
    Aissaoui, Narimane
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (03)
  • [47] On the Nonhomogeneous Kirchhoff-type Problems
    Narimane Aissaoui
    Mediterranean Journal of Mathematics, 2023, 20
  • [48] The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method
    Yan, Baoqiang
    O'Regan, Donal
    Agarwal, Ravi P.
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2018, 26 (01): : 5 - 41
  • [49] Kirchhoff-Type Fractional Laplacian Problems with Critical and Singular Nonlinearities
    Duan, Qingwei
    Guo, Lifeng
    Zhang, Binlin
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (02)
  • [50] Multiplicity and concentration behavior of solutions to the critical Kirchhoff-type problem
    Jian Zhang
    Wenming Zou
    Zeitschrift für angewandte Mathematik und Physik, 2017, 68
12345