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The functional Fučik spectrum has empty interior

Published online by Cambridge University Press:  12 July 2007

M. Arias ,
J. Campos ,
M. Cuesta  and
J.-P. Gossez
M. Arias
Affiliation:
Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, [email protected];
J. Campos
Affiliation:
Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, [email protected]
M. Cuesta
Affiliation:
LMPA, Université du Littoral ULCO, 50 rue F. Buisson, BP 699, 62228 Calais, France ([email protected])
J.-P. Gossez
Affiliation:
Département de Mathématique, CP 214, Université Libre de Bruxelles, 1050 Bruxelles, Belgium ([email protected])
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Abstract

We define a functional version of the Fučik spectrum for the Laplacian and we prove that this functional spectrum has empty interior.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 1 , February 2003 , pp. 3 - 10
Copyright
Copyright © Royal Society of Edinburgh 2003

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