This paper is concerned with an optimal control problem governed by a non-smooth
semilinear elliptic equation. We show that the control-to-state mapping is directionally …

The 2D-model of an elastic body with a finite set of rigid inclusions is considered. We
assume that the body can come in frictionless contact on a part of its boundary with a rigid …

This paper is concerned with an optimal control problem governed by a regularized fracture
model using a phase-field technique. To avoid the nondifferentiability due to the …

Comparison of optimality systems for the optimal control of the obstacle problem Page 1
GAMM-Mitt. 40, No. 4, 312 – 338 (2017) / DOI 10.1002/gamm.201740004 Comparison of …

We consider an optimal control problem, whose state is given as the solution of the obstacle
problem. The controls are not assumed to be dense in H^-1(Ω). Hence, local minimizers may …

This paper is concerned with the differential sensitivity analysis and the optimal control of
evolution variational inequalities (EVIs) of obstacle type. We demonstrate by means of a …

The directional differentiability of the solution map of obstacle type quasi-variational
inequalities (QVIs) with respect to perturbations on the forcing term is studied. The classical …

Within this chapter, we discuss control in the coefficients of an obstacle problem. Utilizing
tools from H-convergence, we show existence of optimal solutions. First order necessary …

We consider optimization problems in Banach spaces involving a complementarity
constraint, defined by a convex cone K. By transferring the local decomposition approach …

This article is concerned with the derivation of a posteriori error estimates for optimization
problems subject to an obstacle problem. To circumvent the nondifferentiability inherent to …