This paper deals with the optimal control of an obstacle problem where the control variable
is the obstacle. The state system is described by a class of quasilinear elliptic variational …

Let ug be the unique solution of a parabolic variational inequality of second kind, with a
given g. Using a regularization method, we prove, for all g1 and g2, a monotony property …

First, let ug be the unique solution of an elliptic variational inequality with source term g. We
establish, in the general case, the error estimate between u_3(μ)=μu_g_1+(1-μ)u_g_2 and …

In this paper, we establish the existence of the optimal control for an optimal control problem
where the state of the system is defined by a variational inequality problem with monotone …

In this article, an optimal control problem (OCP) for a system governed by a class of double
obstacle elliptic variational inequalities on a mixed boundary is proposed. An approximating …

We study optimal control of an elliptic obstacle problem with mixed boundary conditions
whose weak formulation is a nonlinear variational inequality. We put the control on both the …

In this paper, some existence results for optimal control problems governed by abstract
quasi-variational inequalities are proved in reflexive Banach spaces. As an application, an …

We consider an optimal control problem for the obstacle problem with an elliptic variational
inequality. The obstacle function which is the control function is assumed in H 2. We use an …

In this article, by using nonlinear Lagrangian methods, we study an optimal control problem
where the state of the system is defined by a variational inequality problem for monotone …

This paper is concerned with the existence of an optimal control problem for a quasi-linear
elliptic obstacle variational inequality in which the obstacle is taken as the control. Firstly, we …