4 papers · 1 filter
Calibration for minimal surfaces with free boundary and Cheeger-type problems
Guy Bouchitté, Minh Phan
We study a problem of minimal surfaces with free boundary written in the form of a non convex minimization problem. Our aim is to characterize optimal solutions by finding a suitab…
Sharp inequalities between Zolotarev and Wasserstein distances in
Karol Bołbotowski, Guy Bouchitté
Based on a new Kantorovich-Rubinstein duality principle for the Hessian that was recently established by the two authors, we extend the Rio inequality to any dimension wi…
Structural properties of one-dimensional metric currents: SBV-representations, connectedness and the flat chain conjecture
Adolfo Arroyo-Rabasa, Guy Bouchitté
A comprehensive study of one-dimensional metric currents and their relationship to the geometry of metric spaces is presented. We resolve the one-dimensional flat chain conjecture…
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…