On a nonlinear eigenvalue problem in Orlicz-Sobolev spaces

被引：39

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 12 条

[1] METRIC REGULARITY, TANGENT SETS, AND 2ND-ORDER OPTIMALITY CONDITIONS [J].