Highly Influenced

# Existence and Multiplicity of Solutions for the Noncoercive Neumann P-laplacian

@inproceedings{Papageorgiou2010ExistenceAM, title={Existence and Multiplicity of Solutions for the Noncoercive Neumann P-laplacian}, author={Nikolaos S. Papageorgiou and Eug{\'e}nio M. Rocha}, year={2010} }

- Published 2010

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.