Multiple solutions for a Kirchhoff-type problem involving the p(x)-Laplacian operator

被引:64
|
作者
Cammaroto, F. [1 ]
Vilasi, L. [1 ]
机构
[1] Univ Messina, Dept Math, I-98166 Sant Agata Di Messina, Italy
关键词
Kirchhoff-type problems; Dirichlet problem; p(x)-Laplacian operator; Multiple solutions; POSITIVE SOLUTIONS; ELLIPTIC EQUATION; SPACES;
D O I
10.1016/j.na.2010.10.057
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to obtain weak solutions for a Kirchhoff-type problem involving the p(x)-Laplacian operator. The main tool used for obtaining our result is a recent three-critical-points theorem established by Ricceri. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1841 / 1852
页数:12
相关论文
共 50 条
  • [1] NONTRIVIAL SOLUTIONS FOR KIRCHHOFF-TYPE PROBLEMS INVOLVING THE p(x)-LAPLACE OPERATOR
    Ghanmi, Abdeljabbar
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (04) : 1145 - 1158
  • [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] A critical Kirchhoff-type problem involving the p&q-Laplacian
    Cammaroto, F.
    Vilasi, L.
    [J]. MATHEMATISCHE NACHRICHTEN, 2014, 287 (2-3) : 184 - 193
  • [5] Three solutions for a differential inclusion problem involving the p(x)-Kirchhoff-type
    Ge, Bin
    Zhou, Qing Mei
    [J]. APPLICABLE ANALYSIS, 2013, 92 (01) : 60 - 71
  • [6] Infinitely many solutions for a class of critical Kirchhoff-type equations involving p-Laplacian operator
    Anran Li
    Dandan Fan
    Chongqing Wei
    [J]. Zeitschrift für angewandte Mathematik und Physik, 2022, 73
  • [7] Infinitely many solutions for a class of critical Kirchhoff-type equations involving p-Laplacian operator
    Li, Anran
    Fan, Dandan
    Wei, Chongqing
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (01):
  • [8] Existence of solutions for a Kirchhoff type problem involving the fractional p-Laplacian operator
    Chen, Wenjing
    Deng, Shengbing
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (87) : 1 - 8
  • [9] 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
  • [10] Multiple Solutions for a Kirchhoff-type Problem with Vanishing Nonlocal Term and Fractional p-Laplacian
    Zhenhai Liu
    Dumitru Motreanu
    Shengda Zeng
    [J]. Frontiers of Mathematics, 2023, 18 : 1067 - 1082