On a Class of Variational-Hemivariational Inequalities Involving Upper Semicontinuous Set-Valued Mappings

This paper is devoted to the various coercivity conditions in order to guarantee existence of solutions and boundedness of the solution set for the variational-hemivariational inequalities involving upper semicontinuous operators. The results presented in this paper generalize and improve some known results

The initial boundary value problem of a mixed-typed hemivariational inequality

A mixed-typed differential inclusion with a weakly continuous nonlinear term and a nonmonotone discontinuous nonlinear multi-valued term is studied, and the existence and decay of solutions are established

A qualitative mathematical analysis of a class of variational inequalities via semi-complementarity problems: applications in electronics

International audienceThe main object of this paper is to present a general mathematical theory applicable to the study of a large class of linear variational inequalities arising in electronics. Our approach uses recession tools so as to define a new class of problems that we call "semi-complementarity problems". Then we show that the study of semi-complementarity problems can be used to prove new qualitative results applicable to the study of linear variational inequalities of the second kin

A qualitative mathematical analysis of a class of variational inequalities via semi-complementarity problems. Applications in electronics

The main object of this paper is to present a general mathematical theory applicable to the study of a large class of variational inequalities arising in electronics