A non-smooth three critical points theorem for general hemivariational inequality on bounded domains

Fariba Fattahi

doi:10.5269/bspm.v35i3.28597

A non-smooth three critical points theorem for general hemivariational inequality on bounded domains

Authors

Fariba Fattahi Department of Mathematics, University of Mazandaran,

DOI:

https://doi.org/10.5269/bspm.v35i3.28597

Keywords:

Nonsmooth critical point theory, Hemivariational inequality, p(x)âˆ’Laplacian

Abstract

In this paper we are concerned with the study of a hemivariational
inequality with nonhomogeneous Neumann boundary condition. We
establish the existence of at least three solutions of the problem by using
the nonsmooth three critical points theorem and the principle of symmetric
criticality for Motreanu-Panagiotopoulos type functionals.