Multiple solutions for a class of eigenvalue problems involving a nonlinear monotone operator in hemivariational inequalities

Abstract

In this paper we prove two multiplicity results for a class of hemi-variational inequalities involving a monotone operator. This type of eigenvalue problems was firstly studied by D. Motreanu and P.D. Panagiotopoulos in[8]. The study is made in the nonresonant case by using some techniques in critical point theory which was developed in [4].

Keywords:

• eigenvalues, monotone operators
• hemivariational inequalities
• superpotential

Additional information

Notes on contributors

Marian F. Bocea