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.