An existence result on a general type of hemivariational inequalities

Abstract

Based on a combined approach of the energy functionals and of the regularisation procedure it is proved the existence of a solution of the hemivariational inequalities of the form

under some general assumptions in the reflexive Banach spaces compactly imbedded in the space L^P(Ω,R^k) for p2.Ekeland's variational principle, Fatou' theorem and a useful regularization between the smooth and nonsmooth cases are applied.

Keywords:

• hemivariational inequalities
• Ekeland' varitional principle

¹On leave from the Dept. of Mathematics, University of Tirana, Albania. This paper is dedicated to the memory of Professor Gaetano Fichera.

¹On leave from the Dept. of Mathematics, University of Tirana, Albania. This paper is dedicated to the memory of Professor Gaetano Fichera.

Notes

¹On leave from the Dept. of Mathematics, University of Tirana, Albania. This paper is dedicated to the memory of Professor Gaetano Fichera.