Infinitely many solutions for Steklov problems associated to non-homogeneous differential operators through Orlicz-Sobolev spaces

被引：23

作者：

Afrouzi, Ghasem A. ^{[1
]}

Heidarkhani, Shapour ^{[2
]}

Shokooh, Saeid ^{[1
,3
]}

机构：

[1] Univ Mazandaran, Dept Math, Fac Math Sci, Babol Sar, Iran

[2] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran

[3] Univ Gonbad Kavous, Dept Math, Fac Sci, Gonbad Kavous, Iran

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 11期

关键词：

Steklov problem; non-homogeneous differential operator; Orlicz-Sobolev space; multiple solutions; variational methods; VARIABLE EXPONENT;

D O I：

10.1080/17476933.2015.1031122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Employing variational methods and critical point theory, in an appropriate Orlicz-Sobolev setting, we establish the existence of infinitely many solutions for Steklov problems associated to non-homogeneous differential operators. We also provide some particular cases and a concrete example in order to illustrate the main results.

引用

页码：1505 / 1521

页数：17

共 36 条

[1]

Adams R., 1975, SOBOLEV SPACES

[2]

Afrouzi G. A., 2014, ELECT J DIFFER EQ, V134, P1

[3]

Afrouzi G. A., EXISTENCE R IN PRESS

[4]

Allaoui M, 2012, ELECTRON J DIFFER EQ, V132, P1

[5] Solutions for Steklov boundary value problems involving p(x)-Laplace operators [J].

Allaoui, Mostafa ;

El Amrouss, Abdel Rachid .

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2014, 32 (01) :163-173

[6] Existence of solutions for a Steklov problem involving the p(x)-Laplacian [J].

Anane, Aomar ;

Chakrone, Omar ;

Zerouali, Abdellah ;

Karim, Belhadj .

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2014, 32 (01) :205-213

[7]

[Anonymous], 1987, Math. USSR, DOI DOI 10.1070/IM1987V029N01ABEH000958

[8]

[Anonymous], 200401 DUQ U DEP MAT

[9]

Bonanno G., 2012, NONLIN ANAL TMA, V1, P2992

[10] Existence results of infinitely many solutions for p(x)-Laplacian elliptic Dirichlet problems [J].

Bonanno, Gabriele ;

Chinni, Antonia .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2012, 57 (11) :1233-1246

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