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：
Boundary Value Problems | / 2018卷
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
  • [31] Multiplicity of Solutions for an Elliptic Kirchhoff Equation
    David Arcoya
    José Carmona
    Pedro J. Martínez-Aparicio
    Milan Journal of Mathematics, 2022, 90 : 679 - 689
  • [32] Multiplicity of Solutions for an Elliptic Kirchhoff Equation
    Arcoya, David
    Carmona, Jose
    Martinez-Aparicio, Pedro J.
    MILAN JOURNAL OF MATHEMATICS, 2022, 90 (02) : 679 - 689
  • [33] Multiplicity of solutions for fractional p(z)-Kirchhoff-type equation
    Bouali, Tahar
    Guefaifia, Rafik
    Boulaaras, Salah
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
  • [34] Multiplicity of Solutions for a Modified Schrodinger-Kirchhoff-Type Equation in RN
    He, Xiumei
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
  • [35] Multiplicity of positive solutions for a class of p-Kirchhoff equation with critical exponent
    Chu, Changmu
    Sun, Jiaojiao
    ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (04) : 1126 - 1140
  • [36] Multiplicity of positive solutions for a class of p-Kirchhoff equation with critical exponent
    Changmu Chu
    Jiaojiao Sun
    Annals of Functional Analysis, 2020, 11 : 1126 - 1140
  • [37] Multiplicity and Concentration of Solutions for a Fractional Kirchhoff Equation with Magnetic Field and Critical Growth
    Vincenzo Ambrosio
    Annales Henri Poincaré, 2019, 20 : 2717 - 2766
  • [38] Multiplicity and concentration of solutions for fractional Kirchhoff-Choquard equation with critical growth
    Zhang, Weiqiang
    Wen, Yanyun
    Zhao, Peihao
    JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (08)
  • [39] Multiplicity and Concentration of Solutions for a Fractional Kirchhoff Equation with Magnetic Field and Critical Growth
    Ambrosio, Vincenzo
    ANNALES HENRI POINCARE, 2019, 20 (08): : 2717 - 2766
  • [40] Nontrivial solutions for discrete Kirchhoff-type problems with resonance via critical groups
    Yang, Jinping
    Liu, Jinsheng
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
12345