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.

引用

页码：1 / 22

页数：22

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