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math.AP2019
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…
math.AP2018
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…
math.AP2010★ 3 cited
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.