Multiplicity results for the Kirchhoff type equation via critical groups

被引:0
|
作者
Zhenting Wang
Mingzheng Sun
Yutong Chen
Leiga Zhao
机构
[1] North China University of Technology,College of Sciences
[2] Capital Normal University,School of Mathematical Sciences
[3] Beijing University of Chemical Technology,Department of Mathematics
来源
关键词
Kirchhoff type equations; Multiple solutions; Morse theory; 35J20; 35B34; 58E05;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we will compute critical groups at zero for the Kirchhoff type equation using the property that critical groups are invariant under homotopies preserving isolatedness of critical points. Using this results, we can get more nontrivial solutions when the functional of this equation is coercive.
引用
收藏
相关论文
共 50 条
  • [1] Multiplicity results for the Kirchhoff type equation via critical groups
    Wang, Zhenting
    Sun, Mingzheng
    Chen, Yutong
    Zhao, Leiga
    BOUNDARY VALUE PROBLEMS, 2018,
  • [2] Multiplicity results for the Kirchhoff type equations with critical growth
    Yang, Liu
    Liu, Zhisu
    Ouyang, Zigen
    APPLIED MATHEMATICS LETTERS, 2017, 63 : 118 - 123
  • [3] Multiplicity of solutions for a critical nonlinear Schrodinger-Kirchhoff-type equation
    Nie, Jianjun
    Li, Quanqing
    APPLICABLE ANALYSIS, 2024, 103 (10) : 1846 - 1862
  • [4] Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term
    Dou, Xilin
    He, Xiaoming
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2023, 26 (04) : 1941 - 1963
  • [5] Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term
    Xilin Dou
    Xiaoming He
    Fractional Calculus and Applied Analysis, 2023, 26 : 1941 - 1963
  • [6] MULTIPLICITY OF SOLUTIONS FOR A KIRCHHOFF EQUATION WITH SUBCRITICAL OR CRITICAL GROWTH
    Figueiredo, Giovany M.
    Santos Junior, Joao R.
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2012, 25 (9-10) : 853 - 868
  • [7] Multiplicity of solutions for critical Kirchhoff type equations
    Hebey, Emmanuel
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2016, 41 (06) : 913 - 924
  • [8] MULTIPLICITY RESULTS FOR AN IMPULSIVE BOUNDARY VALUE PROBLEM OF p(t)-KIRCHHOFF TYPE VIA CRITICAL POINT THEORY
    Mokhtari, A.
    Moussaoui, T.
    O'Regan, D.
    OPUSCULA MATHEMATICA, 2016, 36 (05) : 631 - 649
  • [9] EXISTENCE AND MULTIPLICITY SOLUTIONS FOR A NONLOCAL EQUATION OF KIRCHHOFF TYPE
    Li, Lin
    Sun, Jijiang
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2018, 10 (04): : 369 - 386
  • [10] Existence and multiplicity of the solutions of the p(x)-Kirchhoff type equation via genus theory
    Avci, Mustafa
    Cekic, Bilal
    Mashiyev, Rabil A.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (14) : 1751 - 1759