Existence of solutions for a class of hemivariational inequality problems

摘要

In this paper, we are concerned with the existence of solutions for a class of Hartman-Stampacchia type hemivariational inequalities by using the Clarke generalized directional derivative and the Galerkin approximation method. Two existence results of solutions for the generalized pseudomonotone mapping hemivariational inequality and elliptic hemivariational inequality are obtained.