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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  and
SALVATORE A. MARANO
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.

Keywords

Primary 35A1535J8558E05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 1 , January 2003 , pp. 131 - 141
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.