Existence of multiple solutions for a perturbed discrete anisotropic equation

被引:3
作者
Heidarkhani, Shapour [1 ]
Afrouzi, Ghasem A. [2 ]
Moradi, Shahin [2 ]
Caristi, Giuseppe [3 ]
机构
[1] Razi Univ, Dept Math, Fac Sci, Kermanshah, Iran
[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran
[3] Univ Messina, Dept Econ, Messina, Italy
关键词
Discrete boundary value problem; perturbed anisotropic problem; three solutions; variational methods; critical point theory; BOUNDARY-VALUE-PROBLEMS; NONLINEAR DIFFERENCE-EQUATIONS; HIGH-FREQUENCY ASYMPTOTICS; POSITIVE SOLUTIONS; LAPLACIAN; PROPAGATION; PARAMETERS; DEPENDENCE; MEDIA;
D O I
10.1080/10236198.2017.1337108
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we are concerned with the existence of at least three distinct solutions for a perturbed anisotropic discrete Dirichlet problem. The approach is based on variational methods. We also provide two examples in order to illustrate the results.
引用
收藏
页码:1491 / 1507
页数:17
相关论文
共 50 条
  • [1] Existence of three weak solutions for a perturbed anisotropic discrete Dirichlet problem
    Heidarkhani, Shapour
    Afrouzi, Ghasem A.
    Imbesi, Maurizio
    Moradi, Shahin
    APPLICABLE ANALYSIS, 2019, 98 (03) : 561 - 580
  • [2] MULTIPLICITY RESULTS FOR DISCRETE ANISOTROPIC EQUATIONS
    Galewski, Marek
    Heidarkhani, Shapour
    Salari, Amjad
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (01): : 203 - 218
  • [3] Existence of Three Solutions for a Discrete Anisotropic Boundary Value Problem
    Moghadam, M. Khaleghi
    Li, L.
    Tersian, S.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (04): : 1091 - 1107
  • [4] An Existence Result for Discrete Anisotropic Equations
    Heidarkhani, Shapour
    Afrouzi, Ghasem A.
    Moradi, Shahin
    TAIWANESE JOURNAL OF MATHEMATICS, 2018, 22 (03): : 725 - 739
  • [5] Existence and multiplicity of positive solutions for discrete anisotropic equations
    Galewski, Marek
    Wieteska, Renata
    TURKISH JOURNAL OF MATHEMATICS, 2014, 38 (02) : 297 - 310
  • [6] EXISTENCE OF THREE SOLUTIONS FOR PERTURBED NONLINEAR DIFFERENCE EQUATIONS
    Heidarkhani, Shapour
    Moghadam, Mohsen Khaleghi
    OPUSCULA MATHEMATICA, 2014, 34 (04) : 747 - 761
  • [7] 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
  • [8] Multiple Anti-Periodic Solutions to a Discrete Fourth Order Nonlinear Equation
    Graef, John R.
    Kong, Lingju
    Liu, Xueyan
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2019, 27 (04) : 601 - 610
  • [9] Existence of Multiple Solutions to a Discrete Fourth Order Periodic Boundary Value Problem via Variational Method
    Dhar, Sougata
    Kong, Lingju
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2022, 30 (04) : 861 - 872
  • [10] MULTIPLE SOLUTIONS FOR A DISCRETE ANISOTROPIC (p1(k), p2(k))-LAPLACIAN EQUATIONS
    Hssini, El Miloud
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,