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2-SYMMETRIC CRITICAL POINT THEOREMS FOR NON-DIFFERENTIABLE FUNCTIONS

Published online by Cambridge University Press:  01 September 2008

PASQUALE CANDITO ,
ROBERTO LIVREA  and
DUMITRU MOTREANU
PASQUALE CANDITO
Affiliation:
Dipartimento D.I.M.E.T, Facoltà di Ingegneria, Università di Reggio Calabria, Via Graziella, Località Feo di Vito, 89100 Reggio Calabria, Italy e-mail: pasquale.candito@unirc.it
ROBERTO LIVREA
Affiliation:
Dipartimento di Patrimonio Architettonico e Urbanistico, Facoltà di Architettura, Università di Reggio Calabria, Salita Melissari, 89100 Reggio Calabria, Italy e-mail: roberto.livrea@unirc.it
DUMITRU MOTREANU
Affiliation:
Département de Mathématiques, Université de Perpignan, Avenue de Villeneuve 52, 66860 Perpignan Cedex, France e-mail: motreanu@univ-perp.fr
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Abstract

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In this paper, some min–max theorems for even and C1 functionals established by Ghoussoub are extended to the case of functionals that are the sum of a locally Lipschitz continuous, even term and a convex, proper, lower semi-continuous, even function. A class of non-smooth functionals admitting an unbounded sequence of critical values is also pointed out.

Keywords

58E0549J35
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 3 , September 2008 , pp. 447 - 466
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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