14 citations · 14 across the 3 of their papers we have counts for
4 papers
Duality theory and optimal transport for sand piles growing in a silos
Luigi De Pascale, Chloé Jimenez
We prove existence and uniqueness of solutions for a system of PDEs which describes the growth of a sandpile in a silos with flat bottom under the action of a vertical, measure sou…
Optimal transportation for a quadratic cost with convex constraints and applications
Chloé Jimenez, Filippo Santambrogio
We prove existence of an optimal transport map in the Monge-Kantorovich problem associated to a cost which is not finite everywhere, but coincides with if the di…
Optimum and equilibrium in a transport problem with queue effects
Gianluca Crippa, Chloé Jimenez, Aldo Pratelli
Consider a distribution of citizens in an urban area in which some services (supermarkets, post offices...) are present. Each citizen, in order to use a service, spends an amount o…
The \infty eigenvalue problem and a problem of optimal transportation
Thierry Champion, Luigi De Pascale, Chloé Jimenez
The so-called eigenvalues and eigenfunctions of the infinite Laplacian are defined through an asymptotic study of that of the usual -Laplacian , this brings to a…