Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz-Sobolev spaces

被引:12
|
作者
Heidari, S. [1 ]
Razani, A. [1 ]
机构
[1] Imam Khomeini Int Univ, Dept Pure Math, Fac Sci, POB 34149-16818, Qazvin, Iran
关键词
Orlicz– Sobolev spaces; Kirchhoff-type problems; Variational methods; Infinitely many solutions;
D O I
10.1186/s13661-021-01496-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study some results on the existence and multiplicity of solutions for a class of nonlocal quasilinear elliptic systems. In fact, we prove the existence of precise intervals of positive parameters such that the problem admits multiple solutions. Our approach is based on variational methods.
引用
收藏
页数:15
相关论文
共 50 条
  • [1] Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces
    S. Heidari
    A. Razani
    [J]. Boundary Value Problems, 2021
  • [2] Multiplicity of Solutions for a Class of Quasilinear Elliptic Systems in Orlicz-Sobolev Spaces
    Wang, Liben
    Zhang, Xingyong
    Fang, Hui
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2017, 21 (04): : 881 - 912
  • [3] Three solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces
    Allegue, Olfa
    Bezzarga, Mounir
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (09) : 1215 - 1227
  • [4] Existence and multiplicity of solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces
    Wang, Liben
    Zhang, Xingyong
    Fang, Hui
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3792 - 3814
  • [5] Multiple solutions for a class of quasilinear problems in Orlicz-Sobolev spaces
    Ait-Mahiout, Karima
    Alves, Claudianor O.
    [J]. ASYMPTOTIC ANALYSIS, 2017, 104 (1-2) : 49 - 66
  • [6] Existence of ground state solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces
    Wang, Liben
    Zhang, Xingyong
    Fang, Hui
    [J]. BOUNDARY VALUE PROBLEMS, 2017,
  • [7] Existence of ground state solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces
    Liben Wang
    Xingyong Zhang
    Hui Fang
    [J]. Boundary Value Problems, 2017
  • [8] Multiple solutions for quasilinear elliptic Neumann problems in Orlicz-Sobolev spaces
    Nikolaos Halidias
    Vy K Le
    [J]. Boundary Value Problems, 2005
  • [9] Multiple solutions for quasilinear elliptic Neumann problems in Orlicz-Sobolev spaces
    Halidias, Nikolaos
    Le, Vy K.
    [J]. BOUNDARY VALUE PROBLEMS, 2005, 2005 (03) : 299 - 306
  • [10] Multiple solutions in fractional Orlicz-Sobolev Spaces for a class of nonlocal Kirchhoff systems
    El-houari, Hamza
    Chadli, Lalla Saadia
    Moussa, Hicham
    [J]. FILOMAT, 2024, 38 (08) : 2857 - 2875