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.

引用

页码：45 / 54

页数：10

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