Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-20T02:42:03.931Z Has data issue: false hasContentIssue false
  • English
  • Français

On a nonlinear eigenvalue problem in OrliczSobolev spaces

Published online by Cambridge University Press:  12 July 2007

J.-P. Gossez  and
R. Mansevich
J.-P. Gossez
Affiliation:
Dpartement de Mathmatiques, Universit Libre de Bruxelles, CP 214, 1050 Bruxelles, Belgium (gossez@ulb.ac.be)
R. Mansevich
Affiliation:
Centro de Modelamiento Matemtico and Departamento de Ingeniea Matemtica, Universidad de Chile, Casilla 170, Correo 3, Santiago, Chile (manasevi@dim.uchile.cl)
Get access Rights & Permissions [Opens in a new window]

Abstract

We consider the eigenvalue problem in an arbitrary OrliczSobolev 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 2 condition is imposed.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 4 , August 2002 , pp. 891 - 909
Copyright
Copyright © Royal Society of Edinburgh 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)