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 …

In this paper, we deal with an overdetermined problem of Serrin-type with respect to a two-
phase elliptic operator in divergence form with piecewise constant coefficients. In particular …

This article is concerned with a spectral optimization problem: in a smooth bounded domain
Ω Ω, for a bounded function m and a nonnegative parameter α α, consider the first …

The present paper is devoted to obtaining some smoothness results for the solution of two
classical control problems relative to the optimal mixture of two isotropic materials. In the first …

For a diffusion problem modeled by the p-Laplacian operator, we are interested in obtaining
numerically the two-phase material which maximizes the internal energy. We assume that …

Biharmonic eigenvalue problems arise in the study of the mechanical vibration of plates. In
this paper, we study the minimization of the first eigenvalue of a simplified model with …

In this paper, we present two type of contributions to the study of two-phases problems. In
such problems, the main focus is on optimising a diffusion function a under L∞ and L 1 …

We consider the optimal arrangement of two diffusion materials in a bounded open set
Ω⊂R^N in order to maximize the energy. The diffusion problem is modeled by the p …

We consider an overdetermined problem of Serrin-type with respect to an operator in
divergence form with piecewise constant coefficients. We give sufficient condition for unique …

Given two isotropic homogeneous materials represented by two constants 0< α< β in a
smooth bounded open set Ω⊂ RN, and a positive number κ<| Ω|, we consider here the …