Multiple Solutions for a Kirchhoff-type Problem with Vanishing Nonlocal Term and Fractional p-Laplacian

被引:0
|
作者
Zhenhai Liu
Dumitru Motreanu
Shengda Zeng
机构
[1] Yulin Normal University,Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing
[2] Guangxi Minzu University,Center for Applied Mathematics of Guangxi
[3] Université de Perpignan,Département de Mathématiques
[4] Nanjing University,Department of Mathematics
[5] Faculty of Mathematics and Computer Science,undefined
来源
Frontiers of Mathematics | 2023年 / 18卷
关键词
Kirchhoff-type elliptic problem; fractional ; -Laplacian; truncation; multiple solutions; Mountain Pass Theorem; 35J20; 35J25; 35Q74;
D O I
暂无
中图分类号
学科分类号
摘要
The goal of the paper is to investigate a Kirchhoff-type elliptic problem driven by a generalized nonlocal fractional p-Laplacian whose nonlocal term vanishes at finitely many points. Multiple nontrivial solutions are obtained by applying a variational method combined with truncation techniques.
引用
收藏
页码:1067 / 1082
页数:15
相关论文
共 50 条
  • [1] Multiple Solutions for a Kirchhoff-type Problem with Vanishing Nonlocal Term and Fractional p-Laplacian
    Liu, Zhenhai
    Motreanu, Dumitru
    Zeng, Shengda
    [J]. FRONTIERS OF MATHEMATICS, 2023, 18 (05): : 1067 - 1082
  • [2] THREE SOLUTIONS FOR A KIRCHHOFF-TYPE PROBLEM INVOLVING NONLOCAL FRACTIONAL p-LAPLACIAN
    Azroul, E.
    Benkirane, A.
    Srati, M.
    [J]. ADVANCES IN OPERATOR THEORY, 2019, 4 (04): : 821 - 822
  • [3] MULTIPLE SOLUTIONS FOR A KIRCHHOFF-TYPE FRACTIONAL COUPLED PROBLEM WITH P-LAPLACIAN
    Wang, Yi
    Tian, Lixin
    Dong, Minjie
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (03): : 1535 - 1555
  • [4] MULTIPLE SOLUTIONS FOR A KIRCHHOFF-TYPE PROBLEM INVOLVING NONLOCAL FRACTIONAL p-LAPLACIAN AND CONCAVE-CONVEX NONLINEARITIES
    Chu, Chang-Mu
    Sun, Jiao-Jiao
    Cai, Zhi-Peng
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2017, 47 (06) : 1803 - 1823
  • [5] Existence of Solutions for Kirchhoff-Type Fractional Dirichlet Problem with p-Laplacian
    Kang, Danyang
    Liu, Cuiling
    Zhang, Xingyong
    [J]. MATHEMATICS, 2020, 8 (01)
  • [6] Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian
    Taiyong Chen
    Wenbin Liu
    [J]. Advances in Difference Equations, 2018
  • [7] Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian
    Chen, Taiyong
    Liu, Wenbin
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [8] Multiple solutions for a noncooperative Kirchhoff-type system involving the fractional p-Laplacian and critical exponents
    Liang, Sihua
    Bisci, Giovanni Molica
    Zhang, Binlin
    [J]. MATHEMATISCHE NACHRICHTEN, 2018, 291 (10) : 1533 - 1546
  • [9] BLOWUP OF SOLUTIONS TO DEGENERATE KIRCHHOFF-TYPE DIFFUSION PROBLEMS INVOLVING THE FRACTIONAL p-LAPLACIAN
    Yang, Yanbing
    Tian, Xueteng
    Zhang, Meina
    Shen, Jihong
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
  • [10] On Critical Schrödinger–Kirchhoff-Type Problems Involving the Fractional p-Laplacian with Potential Vanishing at Infinity
    Nguyen Van Thin
    Mingqi Xiang
    Binlin Zhang
    [J]. Mediterranean Journal of Mathematics, 2021, 18