10 citations · 28 across the 7 of their papers we have counts for
8 papers
Optimal design versus maximal Monge-Kantorovich metrics
Karol Bołbotowski, Guy Bouchitté
A remarkable connection between optimal design and Monge transport was initiated in the years 1997 in the context of the minimal elastic compliance problem and where the euclidean…
Relaxed multi-marginal costs and quantization effects
Guy Bouchitté, Giuseppe Buttazzo, Thierry Champion +1
We propose a duality theory for multi-marginal repulsive cost that appear in optimal transport problems arising in Density Functional Theory. The related optimization problems invo…
Dissociating limit in Density Functional Theory with Coulomb optimal transport cost
Guy Bouchitté, Giuseppe Buttazzo, Thierry Champion +1
In the framework of Density Functional Theory with Strongly Correlated Electrons we consider the so called bond dissociating limit for the energy of an aggregate of atoms. We show…
Optimal design problems for Schrödinger operators with noncompact resolvents
Guy Bouchitté, Giuseppe Buttazzo
We consider optimization problems for cost functionals which depend on the negative spectrum of Schrödinger operators of the form , where is a potential, with prescrib…
The Monge-Kantorovich problem for distributions and applications
Guy Bouchitté, Giuseppe Buttazzo, Luigi De Pascale
We study the Kantorovich-Rubinstein transhipment problem when the difference between the source and the target is not anymore a balanced measure but belongs to a suitable subspace…
Thin waveguides with Robin boundary conditions
Guy Bouchitté, Luisa Mascarenhas, Luis Trabucho
We consider the Laplace operator in a thin three dimensional tube with a Robin type condition on its boundary and study, asymptotically, the spectrum of such operator as the diamet…
Homogenization of nonlocal wire metamaterial via a renormalization approach
Alexandru I. Cabuz, André Nicolet, Frédéric Zolla +2
It is well known that defining a local refractive index for a metamaterial requires that the wavelength be large with respect to the scale of its microscopic structure (generally t…
Homogenization of membrane and pillar photonic crystals
D. Felbacq, G. Bouchitté, A. Moreau
We study wave propagation and diffraction in a bidimensional photonic crystal with finite height, in case where the wavelength is large with respect to the period of the structure.…