14 citations · 17 across the 6 of their papers we have counts for
7 papers
Dissociation limits in Density Functional Theory
Guy Bouchitté, Giuseppe Buttazzo, Thierry Champion +1
In this paper we consider the {\it Density Functional Theory} (DFT) framework, where a functional of the form $$F_\eps(ρ)=\eps T(ρ)+bC(ρ)-U(ρ)$$ has to be minimized in the class of…
Universal bounds for fixed point iterations via optimal transport metrics
Mario Bravo, Thierry Champion, Roberto Cominetti
We present a self-contained analysis of a particular family of metrics over the set of non-negative integers. We show that these metrics, which are defined through a nested sequenc…
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…
Continuity and estimates for multimarginal optimal transportation problems with singular costs
Giuseppe Buttazzo, Thierry Champion, Luigi De Pascale
We consider some repulsive multimarginal optimal transportation problems which include, as a particular case, the Coulomb cost. We prove a regularity property of the minimizers (op…
A particular class of solutions of a system of eikonal equations
Thierry Champion, Gisella Croce
In this article we study a system of eikonal equations. Our aim is to isolate the solutions which minimise the discontinuity set of the gradient.