Infinitely many solutions for nonlocal elliptic systems in Orlicz-Sobolev spaces

被引：12
|
作者：
Heidari, Samira [1 ]
Razani, Abdolrahman [1 ]
机构：
[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, POB 34149-16818, Qazvin, Iran
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2022年 / 29卷 / 01期
关键词：
Variational methods; infinitely many solutions; nonlocal elliptic systems; Orlicz-Sobolev spaces; NONHOMOGENEOUS DIFFERENTIAL-OPERATORS; EXISTENCE; EQUATIONS;
D O I：
10.1515/gmj-2021-2110
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, the existence of at least two weak solutions for a Kirchhoff-type problem has been studied in [M. Makvand Chaharlang and A. Razani, Two weak solutions for some Kirchhoff-type problem with Neumann boundary condition, Georgian Math. J. 28 2021, 3, 429-438]. Here, the existence of infinitely many solutions for nonlocal Kirchhoff-type systems including Dirichlet boundary conditions in Orlicz-Sobolev spaces is studied by using variational methods and critical point theory.
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页码：45 / 54
页数：10
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