Existence and multiplicity of solutions for critical Choquard-Kirchhoff type equations with variable growth

被引：2
|
作者：
Tao, Lulu [1 ]
He, Rui [1 ]
Liang, Sihua [1 ]
Niu, Rui [2 ]
机构：
[1] Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R China
[2] Heilongjiang Inst Technol, Coll Sci, Harbin 150050, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 8卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Choquard equation; critical nonlinearity; concentration-compactness principles; variational methods; CONCENTRATION-COMPACTNESS PRINCIPLE; P(X)-LAPLACIAN EQUATIONS; SPACES; EXPONENTS;
D O I：
10.3934/math.2023156
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence and multiplicity of solutions for a class of Choquard-Kirchhoff type equations with variable exponents and critical reaction. Because the appearance of the critical reaction, we deal with the lack of compactness by using the concentration-compactness principle. In particular, we discuss the main results in non-degenerate and degenerate cases. And we apply combination of Krasnoselskii genus and the Hardy-Littlewood-Sobolev inequality to get the results of existence and multiplicity.
引用
收藏
页码：3026 / 3048
页数：23
相关论文
共 50 条
  • [11] 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
  • [12] Multiplicity of solutions for Kirchhoff type equations with critical growth in RN
    Paes-Leme, Leandro C.
    Rodrigues, Bruno M.
    de Souza, Gustavo
    Oliveira, Fernando L. P.
    APPLICABLE ANALYSIS, 2024, 103 (17) : 3182 - 3196
  • [13] ON MULTI-BUMP SOLUTIONS FOR THE CHOQUARD-KIRCHHOFF EQUATIONS IN RN
    Liang, Shuaishuai
    Sun, Mingzhe
    Shi, Shaoyun
    Liang, Sihua
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023,
  • [14] Multiplicity and concentration of solutions for Choquard equations with critical growth
    Zhang, Hui
    Zhang, Fubao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 481 (01)
  • [15] Multiplicity of solutions for critical Kirchhoff type equations
    Hebey, Emmanuel
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2016, 41 (06) : 913 - 924
  • [16] Normalized ground states for a kind of Choquard-Kirchhoff equations with critical nonlinearities
    Fei, Jiayi
    Zhang, Qiongfen
    BOUNDARY VALUE PROBLEMS, 2024, 2024 (01):
  • [17] Multiplicity of solutions for a class of fractional Choquard–Kirchhoff equations involving critical nonlinearity
    Fuliang Wang
    Mingqi Xiang
    Analysis and Mathematical Physics, 2019, 9 : 1 - 16
  • [18] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR KIRCHHOFF SYSTEM WITH CRITICAL GROWTH
    Furtado, Marcelo F.
    de Oliveira, Luan D.
    da Silva, Joao Pablo P.
    ANNALES FENNICI MATHEMATICI, 2021, 46 (01): : 295 - 308
  • [19] Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical growth in RN
    Liang, Sihua
    Zhang, Jihui
    JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (11)
  • [20] On the critical Choquard-Kirchhoff problem on the Heisenberg group
    Sun, Xueqi
    Song, Yueqiang
    Liang, Sihua
    ADVANCES IN NONLINEAR ANALYSIS, 2023, 12 (01) : 210 - 236
12345