2007 Conference on Variational and Topological Methods: Theory, Applications,
Numerical Simulations, and Open Problems.
Electron. J. Diff. Eqns., Conference 18 (2010), pp. 57-66.
Title: Existence and multiplicity of solutions for the noncoercive
Neumann p-Laplacian
Authors: Nikolaos S. Papageorgiou (National Technical Univ., Greece)
Eugenio M. Rocha (Univ. of Aveiro, Portugal)
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.