Multiple solutions for noncoercive resonant neumann hemivariational inequalities

In this paper we consider semilinear Neumann problems with a nonsmooth potential. Using variational methods based on the nonsmooth critical point theory, we prove existence and multiplicity theorems. Our framework of analysis incorporates strongly resonant problems and in contrast to earlier works on the subject, the Euler functional of our problem need not be coercive. Second deformation theorem, nonsmooth critical point theory, resonant problems, multiple nontrivial solutions