Zsuzsanna Dalyay & Csaba Varga
Abstract:
We present a general method for obtaining solutions for an
abstract class of hemivariational inequalities. This result
extends many results to the nonsmooth case.
Our proof is based on a nonsmooth version of the Mountain Pass
Theorem with Palais-Smale or with Cerami compactness condition.
We also use the Principle of Symmetric Criticality for locally
Lipschitz functions.
Submitted November 17, 2003. Published March 16, 2004.
Math Subject Classifications: 35A15, 35J60, 35H30.
Key Words: Variational methods, discontinuous nonlinearities,
principle of symmetric criticality.
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Zsuzsanna Dalyay University of Szeged, Juhasz Gyula Teacher Training Faculty Department of Mathematics 6721 Szeged, Boldogasszony Sgt. 6. Hungary email: dalyay@jgytf.u-szeged.hu |
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Csaba Varga "Babes-Bolyai" University, Department of Mathematics Str. M KogAlniceanu, Nr.1, Cluj-Napoca, Romania email: csvarga@cs.ubbcluj.ro |
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