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

来源：

BOUNDARY VALUE PROBLEMS | 2021年 / 2021卷 / 01期

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

页数：15

共 50 条

[31] Harnack Inequality for Quasilinear Elliptic Equations in Generalized Orlicz-Sobolev Spaces
Allami Benyaiche
Ismail Khlifi
[J]. Potential Analysis, 2020, 53 : 631 - 643
[32] QUASILINEAR ELLIPTIC PROBLEMS ON NON-REFLEXIVE ORLICZ-SOBOLEV SPACES
Silva, Edcarlos D.
Carvalho, Marcos L. M.
Silva, Kaye
Goncalves, Jose, V
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (02) : 587 - 612
[33] Existence of Multi-peak Solutions for a Class of Quasilinear Problems in Orlicz-Sobolev Spaces
Claudianor O. Alves
Ailton R. da Silva
[J]. Acta Applicandae Mathematicae, 2017, 151 : 171 - 198
[34] Existence of Multi-peak Solutions for a Class of Quasilinear Problems in Orlicz-Sobolev Spaces
Alves, Claudianor O.
da Silva, Ailton R.
[J]. ACTA APPLICANDAE MATHEMATICAE, 2017, 151 (01) : 171 - 198
[35] Sobolev-Dirichlet problem for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces
Benyaiche, Allami
Khlifi, Ismail
[J]. POSITIVITY, 2021, 25 (03) : 819 - 841
[36] The Sub-Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz-Sobolev Spaces
Dong, Ge
Fang, Xiaochun
[J]. JOURNAL OF FUNCTION SPACES, 2018, 2018
[37] THREE SOLUTIONS FOR A CLASS OF NONHOMOGENEOUS NONLOCAL SYSTEMS: AN ORLICZ-SOBOLEV SPACE SETTING
Bohner, Martin
Caristi, Giuseppe
Heidarkhani, Shapour
Salari, Amjad
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2017, 26 (02): : 259 - 282
[38] An existence theorem for weak solutions for a class of elliptic partial differential systems in general Orlicz-Sobolev spaces
Dong, Ge
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) : 2049 - 2057
[39] AN ORLICZ-SOBOLEV SPACE SETTING FOR QUASILINEAR ELLIPTIC PROBLEMS
Halidias, Nikolaos
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[40] Positive solutions of quasilinear elliptic equations with critical orlicz-sobolev nonlinearity on RN
Fukagai, Nobuyoshi
Ito, Masayuki
Narukawa, Kimiaki
[J]. FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2006, 49 (02): : 235 - 267

← 1 2 3 4 5 →