On a class of nonlinear variational–hemivariational inequalities

Abstract

A three critical points theorem for nondifferentiable functions is pointed out and an existence result of multiple solutions for a Neumann elliptic variational–hemivariational inequality involving the p-laplacian is established. As an application, a Neumann problem for elliptic equations with discontinuous nonlinearities is studied. © 2004, Taylor & Francis Group, LLC.