INFINITELY MANY SOLUTIONS FOR THE FRACTIONAL p&q PROBLEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND SIGN-CHANGING WEIGHT FUNCTIONS

被引:0
|
作者
Xu, Zhiguo [1 ]
机构
[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
关键词
CONCENTRATION-COMPACTNESS PRINCIPLE; KIRCHHOFF TYPE PROBLEMS; Q ELLIPTIC PROBLEMS; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; NONLOCAL PROBLEMS; CRITICAL GROWTH; EXISTENCE; MULTIPLICITY; EQUATION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the Kirchhoff type problems involving fractional p&q problem with critical Sobolev-Hardy exponents and sign-changing weight functions. By using the fractional version of concentration-compactness principle together with Krasnoselskii's genus, we obtain the multiplicity of solutions for this kind problem. The main feature and difficulty of our equations arise in the fact that the Kirchhoff term M could vanish at zero, that is, the problem is degenerate.
引用
收藏
页码:519 / 537
页数:19
相关论文
共 50 条
  • [21] Infinitely many sign-changing solutions for p-Laplacian equation involving the critical Sobolev exponent
    Yuanze Wu
    Yisheng Huang
    Boundary Value Problems, 2013
  • [22] Infinitely many sign-changing solutions for p-Laplacian equation involving the critical Sobolev exponent
    Wu, Yuanze
    Huang, Yisheng
    BOUNDARY VALUE PROBLEMS, 2013,
  • [23] Infinitely many sign-changing solutions for a nonlocal problem
    Guangze Gu
    Wei Zhang
    Fukun Zhao
    Annali di Matematica Pura ed Applicata (1923 -), 2018, 197 : 1429 - 1444
  • [24] Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions
    Yongpeng Chen
    Baoxia Jin
    Boundary Value Problems, 2023
  • [25] WEIGHTED SOBOLEV-HARDY SPACES AND SIGN-CHANGING SOLUTIONS OF DEGENERATE ELLIPTIC EQUATION
    Yang, Jun
    Shen, Yaotian
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (06) : 2565 - 2575
  • [26] Infinitely many solutions for semilinear elliptic problems with sign-changing weight functions
    Jalilian, Yaghoub
    Szulkin, Andrzej
    APPLICABLE ANALYSIS, 2014, 93 (04) : 756 - 770
  • [27] INFINITELY MANY SOLUTIONS FOR A NONLOCAL TYPE PROBLEM WITH SIGN-CHANGING WEIGHT FUNCTION
    Azroul, Elhoussine
    Benkirane, Abdelmoujib
    Srati, Mohammed
    Torres, Cesar
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021,
  • [28] Fractional p-Kirchhoff problems involving critical exponents and sign-changing weight functions
    Liang, Sihua
    Zhang, Binlin
    ASYMPTOTIC ANALYSIS, 2019, 115 (1-2) : 47 - 61
  • [29] Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy-Sobolev-Maz'ya terms*
    Wang, Lixia
    Zhao, Pingping
    Zhang, Dong
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, 27 (05): : 863 - 878
  • [30] Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy-Sobolev-Maz'ya terms*
    Wang, Lixia
    Zhao, Pingping
    Zhang, Dong
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, : 863 - 878