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SOME REMARKS ON CRITICAL POINT THEORY FOR LOCALLY LIPSCHITZ FUNCTIONS

Published online by Cambridge University Press:  01 May 2003

GIUSEPPINA BARLETTA
Affiliation:
Dipartimento di Informatica, Matematica, Elettronica e Trasporti, Università degli Studi Mediterranea di Reggio Calabria, Feo di Vito, 89100 Reggio Calabria, Italy e-mail: barletta@ing.unirc.it
SALVATORE A. MARANO
Affiliation:
Dipartimento di Patrimonio Architettonico e Urbanistico, Università degli Studi Mediterranea di Reggio Calabria, Salita Melissari – Feo di Vito, 89100 Reggio Calabria, Italy e-mail: marano@dmi.unict.it
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Abstract

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In this paper, a dual version of the Mountain Pass Theorem and the Generalized Mountain Pass Theorem are extended to functions that are locally Lipschitz only. An application involving elliptic hemivariational inequalities is next examined.

Type
Research Article
Copyright
2003 Glasgow Mathematical Journal Trust

Footnotes

Work performed under the auspices of G.N.A.M.P.A. of I.N.D.A.M. and partially supported by M.I.U.R. of Italy, 2001.