Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

We consider shape optimization problems subject to elliptic partial differential equations. In
the context of the finite element method, the geometry to be optimized is represented by 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 propose a general trust-region method for the minimization of nonsmooth and
nonconvex, locally Lipschitz continuous functions that can be applied, eg, to optimization …

We characterize generalized derivatives of the solution operator of the obstacle problem.
This precise characterization requires the usage of the theory of so-called capacitary …

In this chapter, we are concerned with inverse optimal control problems, ie, optimization
models which are used to identify parameters in optimal control problems from given …

We study first-order necessary optimality conditions and finite element error estimates for a
class of distributed parabolic optimal control problems with pointwise state constraints. It is …

Abstract (EN) In this thesis, we derive necessary optimality conditions for bilevel
programming problems (BPPs for short) in Banach spaces. This rather abstract setting …

This paper is concerned with second-order optimality conditions for Tikhonov regularized
optimal control problems governed by the obstacle problem. Using a simple observation that …

We investigate the limiting normal cone of the complementarity set associated with non-
negative functions in the Sobolev space. By using results from homogenization theory, we …