In this article, we consider a species whose population density solves the steady diffusive
logistic equation in a heterogeneous environment modeled with the help of a spatially non …

In this paper, we are interested in the analysis of a well-known free boundary/shape
optimization problem motivated by some issues arising in population dynamics. The …

We prove the convergence of the fixed-point (also called thresholding) algorithm in three
optimal control problems under large volume constraints. This algorithm was introduced by …

We develop a new reduced basis (RB) method for the rapid and reliable approximation of
parametrized elliptic eigenvalue problems. The method hinges upon dual weighted residual …

In this paper, we investigate an optimal design problem motivated by some issues arising in
population dynamics. In a nutshell, we aim at determining the optimal shape of a region …

In this article we consider the problem of the optimal distribution of two conducting materials
with given volume inside a fixed domain, in order to minimize the first eigenvalue (the …

In this article, we propose a data-driven reduced basis (RB) method for the approximation of
parametric eigenvalue problems. The method is based on the offline and online paradigms …

The aim of this paper is to prove the existence of optimal shapes in bilinear parabolic
optimal control problems. We consider a parabolic equation∂ tum-Δ um= f (t, x, um)+ mum …

We study a weighted eigenvalue problem with anisotropic diffusion in bounded Lipschitz
domains Ω⊂ RN, N≥ 1, under Robin boundary conditions, proving the existence of two …

In this paper, we study both minimization and maximization problems corresponding to a
Poisson's equation with Robin boundary conditions. These rearrangement shape …