ABSTRACT
This chapter closes with a section concerning the formulation of hemivariational inequalities. It is based on the monographs and works by Moreau, Rockafellar, Gopfert, Ekeland and Temam, Aubin, Aubin and Frankowska, Clarke, Panagiotopoulos, Moreau, Panagiotopoulos, Strang, Moreau, Panagiotopoulos, Antes and Panagiotopoulos. The theory of hemivariational inequalities constitutes a direct generalization of the theory of variational inequalities. The chapter is oriented towards applications and therefore can be omitted by a reader interested only in the mathematical theory of hemivariational inequalities. In Mechanics the aforementioned variational formulations express the principle of virtual work or power in equality or in inequality form. Other topics of Nonsmooth Mechanics result after the introduction into Mechanics of Warga’s derivate containers, Ioffe’s fans, and Demyanov’s quasidifferentials.
