A minimax approach to the eigenvalue problem of hemivariational inequalities and applications

Abstract

The aim of the present paper is the study of the eigenvalue problem for hemivariational inequalities. The minimax approach applied (Mountain-Pass Theorem) is a generalization, proved in this paper, of a result of Rabinowitz for nonsmooth functionals. The main result of the paper states the existence of a nontrivial solution for the eigenvalue problem. Applications concerning yet unsolved mechanical problems illustrate the theory.

Keywords:

• eigenvalue problem
• hemivariational inequalities
• minimax method

Additional information

Notes on contributors

D. Motrean