The structure theorem of Hadamard–Zolésio states that the derivative of a shape functional
is a distribution on the boundary of the domain depending only on the normal perturbations …

The goal of this paper is to improve the performance of an electric motor by modifying the
geometry of a specific part of the iron core of its rotor. To be more precise, the objective is to …

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 …

In general, standard necessary optimality conditions cannot be formulated in a
straightforward manner for semismooth shape optimization problems. In this paper, we …

An elastic body weakened by small cracks is considered in the framework of unilateral
variational problems in linearized elasticity. The frictionless contact conditions are …

This paper investigates, without any regularization or penalization procedure, a shape
optimization problem involving a simplified friction phenomenon modeled by a scalar Tresca …

We review how diffeologies complete the settings classically used from infinite dimensional
geometry to partial differential equations, based on classical settings of functional analysis …

Shape optimization is of interest in many fields of application. In particular, shape
optimization problems arise frequently in technological processes which are modelled by …

The differential-geometric structure of the manifold of smooth shapes is applied to the theory
of shape optimization problems. In particular, a Riemannian shape gradient with respect to …

In this paper, we study an inverse problem of estimating three discontinuous parameters in a
double phase implicit obstacle problem with multivalued terms and mixed boundary …