154 citations · 166 across the 9 of their papers we have counts for
6 papers · 1 filter
Entropic approximation of -optimal transport problems
Guillaume Carlier, Camilla Brizzi, Luigi De Pascale
We propose an entropic approximation approach for optimal transportation problems with a supremal cost. We establish -convergence for suitably chosen parameters for the entropic…
A property of Absolute Minimizers in Calculus of Variations and of solutions of the Aronsson-Euler equation
Camilla Brizzi, Luigi De Pascale
We discover a new minimality property of the absolute minimisers of supremal functionals (also known as Calculus of Variations problems).
-optimal transport for a class of quasiconvex cost functions
Camilla Brizzi, Luigi De Pascale, Anna Kausamo
We consider the -optimal mass transportation problem \[ \min_{Π(μ, ν)} γ-\mathrm{ess\,sup\,} c(x,y), \] for a new class of costs for which we introduce a tentati…
On deterministic solutions for multi-marginal optimal transport with Coulomb cost
Ugo Bindini, Luigi De Pascale, Anna Kausamo
In this paper we study the three-marginal optimal mass transportation problem for the Coulomb cost on the plane . The key question is the optimality of the so-called Seidl ma…
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…
Monge's transport problem in the Heisenberg group
Luigi De Pascale, Severine Rigot
We prove the existence of solutions to Monge transport problem between two compactly supported Borel probability measures in the Heisenberg group equipped with its Carnot-Caratheod…