Multiplicity of Solutions for Fourth-Order Elliptic Equations of Kirchhoff Type with Critical Exponent

被引：0
作者：
Yueqiang Song
Shaoyun Shi
机构：
[1] Jilin University,College of Mathematics
[2] Changchun Normal University,Scientific Research Department
[3] State Key Laboratory of Automotive Simulation and Control,undefined
来源：
Journal of Dynamical and Control Systems | 2017年 / 23卷
关键词：
Fourth-order elliptic equations of Kirchhoff type; Critical growth; Concentration-compactness principle; Variational method; 35J20; 35J65; 35J60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we deal with fourth-order elliptic equations of Kirchhoff type with critical exponent in bounded domains, the new results about existence, and multiplicity of solutions are obtained by using the concentration-compactness principle and variational method.
引用
收藏
页码：375 / 386
页数：11
相关论文
共 50 条
  • [31] Multiplicity of solutions for Kirchhoff-type problems involving critical growth
    Chenxing Zhou
    Fenghua Miao
    Sihua Liang
    Yueqiang Song
    Boundary Value Problems, 2014
  • [32] A Class of Fourth-Order Symmetrical Kirchhoff Type Systems
    Wu, Yong
    Taarabti, Said
    El Allali, Zakaria
    Ben Hadddouch, Khalil
    Zuo, Jiabin
    SYMMETRY-BASEL, 2022, 14 (08):
  • [33] Existence and multiplicity of solutions for Kirchhoff-type potential systems with variable critical growth exponent
    Chems Eddine, Nabil
    APPLICABLE ANALYSIS, 2023, 102 (04) : 1250 - 1270
  • [34] Multiplicity of positive solutions for a class of critical Sobolev exponent problems involving Kirchhoff-type nonlocal term
    Duan, Yu
    Sun, Xin
    Liao, Jia-Feng
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (12) : 4427 - 4437
  • [35] Positive solutions of Kirchhoff type elliptic equations in R4 with critical growth
    Liu, Zhisu
    Guo, Shangjiang
    Fang, Yanqin
    MATHEMATISCHE NACHRICHTEN, 2017, 290 (2-3) : 367 - 381
  • [36] Multiplicity of nontrivial solutions for a critical degenerate Kirchhoff type problem
    Zhang, Chunhong
    Liu, Zhisu
    APPLIED MATHEMATICS LETTERS, 2017, 69 : 87 - 93
  • [37] Multiplicity results for the Kirchhoff type equations with critical growth
    Yang, Liu
    Liu, Zhisu
    Ouyang, Zigen
    APPLIED MATHEMATICS LETTERS, 2017, 63 : 118 - 123
  • [38] Sign-changing solutions for p-Laplacian Kirchhoff-type equations with critical exponent
    Chahma, Youssouf
    Chen, Haibo
    JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2023, 9 (02) : 1291 - 1317
  • [39] The critical problem of Kirchhoff type elliptic equations in dimension four
    Naimen, Daisuke
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 257 (04) : 1168 - 1193
  • [40] Sign-changing solutions for p-Laplacian Kirchhoff-type equations with critical exponent
    Youssouf Chahma
    Haibo Chen
    Journal of Elliptic and Parabolic Equations, 2023, 9 : 1291 - 1317
12345