On a nonlinear eigenvalue problem in Orlicz-Sobolev spaces

被引：38

作者：

Gossez, JP

Manásevich, R

机构：

[1] Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium

[2] Univ Chile, Ctr Modelamiento Matemat, Santiago 3, Chile

[3] Univ Chile, Dept Ingn Matemat, Santiago 3, Chile

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2002年 / 132卷

关键词：

D O I：

10.1017/S030821050000192X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the eigenvalue problem -Delta(m) (u) = lambdam(u) in Omega, u = 0 on partial derivativeOmega in an arbitrary Orlicz-Sobolev space. We show that the existence of an eigenvalue can be derived from a generalized version of Lagrange multiplier rule. Our approach also applies to more general problems. We emphasize that no Delta(2) condition is imposed.

引用

页码：891 / 909

页数：19

共 50 条

[31] Variational Integrals on Orlicz-Sobolev Spaces
Fuchs, M.
Osmolovski, V.
[J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 1998, 17 (02): : 393 - 415
[32] Removable Sets for Orlicz-Sobolev Spaces
Karak, Nijjwal
[J]. POTENTIAL ANALYSIS, 2015, 43 (04) : 675 - 694
[33] DISTANCE FUNCTIONS AND ORLICZ-SOBOLEV SPACES
EDMUNDS, DE
EDMUNDS, RM
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1986, 38 (05): : 1181 - 1198
[34] Fractional order Orlicz-Sobolev spaces
Fernandez Bonder, Julian
Salort, Ariel M.
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2019, 277 (02) : 333 - 367
[35] Composition operators in Orlicz-Sobolev spaces
Menovshchikov, A. V.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2016, 57 (05) : 849 - 859
[36] Interpolation operators in Orlicz-Sobolev spaces
Diening, L.
Ruzicka, M.
[J]. NUMERISCHE MATHEMATIK, 2007, 107 (01) : 107 - 129
[37] AN EXTENSION OPERATOR FOR ORLICZ-SOBOLEV SPACES
DESOUZA, AJ
[J]. ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1981, 53 (01): : 9 - 12
[38] Extension in generalized Orlicz-Sobolev spaces
Juusti, Jonne
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 522 (01)
[39] EIGENVALUE PROBLEMS FOR A CLASS OF BI-NONLOCAL EQUATIONS IN ORLICZ-SOBOLEV SPACES
Nguyen Thanh Chung
[J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, 2020
[40] Eigenvalue problems in Orlicz-Sobolev spaces for rapidly growing operators in divergence form
Bocea, Marian
Mihailescu, Mihai
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (02) : 640 - 657

← 1 2 3 4 5 →