Nikolaos S. Papageorgiou, Eugenio M. Rocha
Abstract:
We consider a nonlinear Neumann problem driven by the p-Laplacian
differential operator with a nonsmooth potential
(hemivariational inequality). Using variational techniques
based on the smooth critical point theory and the second
deformation theorem, we prove an existence theorem and a
multiplicity theorem, under hypothesis that in general do not
imply the coercivity of the Euler functional.
Published July 10, 2010.
Math Subject Classifications: 35J25, 35J80.
Key Words: Locally Lipschitz function; generalized subdifferential;
second deformation theorem; Palais-Smale condition.
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Nikolaos S. Papageorgiou Department of Mathematics, National Technical University Zografou Campus, Athens 15780, Greece email: npapg@math.ntua.gr | |
Eugenio M. Rocha Department of Mathematics, Campus de Santiago University of Aveiro, 3810-193 Aveiro, Portugal email: eugenio@ua.pt |
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