EXISTENCE OF SOLUTIONS FOR NONLOCAL ELLIPTIC SYSTEMS WITH EXPONENTIAL NONLINEARITY

被引：0
|
作者：
Khaldi, Brahim [1 ]
机构：
[1] Univ ctr Naama, Dept Math & Informat, O Box 66, Naama 45000, Algeria
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2022年 / 14卷 / 03期
关键词：
Mountain pass theorem; Kirchhoff problem; Trudinger-Moser inequality; POSITIVE SOLUTIONS; EQUATIONS;
D O I：
10.7153/dea-2022-14-29
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the existence of solutions for a Kirchhoff-type system with Dirichlet boundary condition and nonlinearities having exponential critical growth. Our approach is based on the Trudinger-Moser inequality and on a minimax theorem.
引用
收藏
页码：417 / 431
页数：15
相关论文
共 50 条
  • [1] Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity
    Ishige, Kazuhiro
    Okabe, Shinya
    Sato, Tokushi
    [J]. ADVANCES IN NONLINEAR ANALYSIS, 2022, 11 (01) : 968 - 992
  • [2] Existence of solutions for a nonlocal elliptic system with critical and subcritical exponential growth
    Li, Shuoshuo
    Shen, Zifei
    Zheng, Yu
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (13) : 14441 - 14456
  • [3] Existence of positive solutions for nonlocal and nonvariational elliptic systems
    Chen, YJ
    Gao, HJ
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2005, 72 (02) : 271 - 281
  • [4] Existence of Solutions for Elliptic Systems with Nonlocal Terms in One Dimension
    Alberto Cabada
    J. Ángel Cid
    Luís Sanchez
    [J]. Boundary Value Problems, 2011
  • [5] EXISTENCE OF SOLUTIONS FOR NONLOCAL ELLIPTIC SYSTEMS WITH NONSTANDARD GROWTH CONDITIONS
    Dai, Guowei
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
  • [6] Existence of Solutions for Elliptic Systems with Nonlocal Terms in One Dimension
    Cabada, Alberto
    Angel Cid, J.
    Sanchez, Luis
    [J]. BOUNDARY VALUE PROBLEMS, 2011,
  • [7] MULTIPLE EXISTENCE AND UNIQUENESS OF AN ELLIPTIC EQUATION WITH EXPONENTIAL NONLINEARITY
    Choe, Kwangseok
    Nam, Hee-Seok
    [J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2005, 12 (03): : 179 - 191
  • [8] EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF NONLOCAL ELLIPTIC SYSTEMS WITH MULTIPLE PARAMETERS
    Nguyen Thanh Chung
    Afrouzi, Ghasem Alizadeh
    [J]. MATEMATICKI VESNIK, 2015, 67 (03): : 166 - 173
  • [9] EXISTENCE OF SOLUTIONS FOR SINGULARLY PERTURBED HAMILTONIAN ELLIPTIC SYSTEMS WITH NONLOCAL NONLINEARITIES
    Yang, Minbo
    Wei, Yuanhong
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2014, 43 (02) : 385 - 402
  • [10] Existence of positive solutions for nonlocal p(x)-Kirchhoff elliptic systems
    Boulaaras, Salah
    Guefaifia, Rafik
    Zennir, Khaled
    [J]. ADVANCES IN PURE AND APPLIED MATHEMATICS, 2019, 10 (01) : 17 - 25
12345