Cambridge Journals Online

Cambridge Journals Online
Skip to content
Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2002), 132: 891-909 Cambridge University Press
doi:10.1017/S030821050000192X
Published online by Cambridge University Press 12 Jul 2007
Cambridge Journals Online - CUP Full-Text Page
Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2002), 132:891-909 Royal Society of Edinburgh Scotland Foundation
Copyright © Royal Society of Edinburgh 2002
doi:10.1017/S030821050000192X

Research Article

On a nonlinear eigenvalue problem in OrliczSobolev spaces

J.-P. Gosseza1 and R. Mansevicha2

a1 Dpartement de Mathmatiques, Universit Libre de Bruxelles, CP 214, 1050 Bruxelles, Belgium (gossez@ulb.ac.be)
a2 Centro de Modelamiento Matemtico and Departamento de Ingeniea Matemtica, Universidad de Chile, Casilla 170, Correo 3, Santiago, Chile (manasevi@dim.uchile.cl)
Article author query
gossez j- Google Scholar
mansevich r Google Scholar

Abstract

We consider the eigenvalue problem

S030821050000192Xdisp001
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.

(Received April 02 2001)

(Accepted October 02 2001)

back to top
Cambridge University Press