Multiple solutions for two classes of quasilinear problems defined on a nonreflexive Orlicz-Sobolev space

被引：3
|
作者：
Alves, Claudianor O. [1 ]
Bahrouni, Sabri [2 ]
Carvalho, Marcos L. M. [3 ]
机构：
[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
[2] Univ Monastir, Math Dept, TN-5019 Monastir, Tunisia
[3] Univ Fed Goias, Inst Matemat & Estat, BR-74001970 Goiania, Go, Brazil
来源：
ARKIV FOR MATEMATIK | 2022年 / 60卷 / 01期
关键词：
Orlicz-Sobolev spaces; variational methods; quasilinear elliptic problems; Delta(2)-condition; modular; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; EIGENVALUE PROBLEM; EXISTENCE; OPERATORS;
D O I：
10.4310/ARKIV.2022.v60.n1.a1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove the existence and multiplicity of solutions for a large class of quasilinear problems on a nonreflexive Orlicz-Sobolev space. Here, we use the variational methods developed by Szulkin [34] combined with some properties of the weak* topology.
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页码：1 / 22
页数：22
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