Existence of Three Solutions for a Discrete Anisotropic Boundary Value Problem

被引:2
|
作者
Moghadam, M. Khaleghi [1 ]
Li, L. [2 ]
Tersian, S. [3 ,4 ]
机构
[1] Sari Agr Sci & Nat Resources Univ, Dept Basic Sci, Sari 578, Iran
[2] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China
[3] Univ Ruse, Dept Math, Ruse, Bulgaria
[4] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria
来源
关键词
Discrete nonlinear boundary value problems; Three solutions; Variational methods; Critical point theory; 2ND-ORDER DIFFERENCE-EQUATIONS; P-LAPLACIAN; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; VARIATIONAL-METHODS; NEUMANN PROBLEMS; MULTIPLICITY;
D O I
10.1007/s41980-018-0073-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The existence of three solutions for a anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary value conditions depending on two parameters is investigated. Variational approach is applied based on a critical point theorem due to Bonanno, Candito and D'Agui.
引用
收藏
页码:1091 / 1107
页数:17
相关论文
共 50 条
  • [1] Existence of Three Solutions for a Discrete Anisotropic Boundary Value Problem
    M. Khaleghi Moghadam
    L. Li
    S. Tersian
    Bulletin of the Iranian Mathematical Society, 2018, 44 : 1091 - 1107
  • [2] Existence of positive solutions for a discrete three-point boundary value problem
    Yuan, Huting
    Zhang, Guang
    Zhao, Hongliang
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2007, 2007
  • [3] Existence of Three Solutions for a Nonlinear Discrete Boundary Value Problem with φc-Laplacian
    Chen, Yanshan
    Zhou, Zhan
    SYMMETRY-BASEL, 2020, 12 (11): : 1 - 13
  • [4] Existence and nonexistence of positive solutions to a discrete boundary value problem
    Henderson, Johnny
    Luca, Rodica
    Tudorache, Alexandru
    CARPATHIAN JOURNAL OF MATHEMATICS, 2017, 33 (02) : 181 - 190
  • [5] Existence of solutions to a discrete fourth order boundary value problem
    Graef, John R.
    Heidarkhani, Shapour
    Kong, Lingju
    Wang, Min
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (06) : 849 - 858
  • [6] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A DISCRETE NONLINEAR BOUNDARY VALUE PROBLEM
    Afrouzi, Ghasem A.
    Hadjian, Armin
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [7] Existence of positive solutions for a semipositone discrete boundary value problem
    Luca, Rodica
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (04): : 658 - 678
  • [8] Existence of positive solutions for a discrete fractional boundary value problem
    Jinhua Wang
    Hongjun Xiang
    Fulai Chen
    Advances in Difference Equations, 2014
  • [9] Existence of positive solutions for a discrete fractional boundary value problem
    Wang, Jinhua
    Xiang, Hongjun
    Chen, Fulai
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [10] Existence of Three Solutions to the Discrete Fourth-order Boundary Value Problem with Four Parameters
    Ousbika, Mohamed
    El Allali, Zakaria
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2020, 38 (02): : 177 - 189