154 citations · 166 across the 9 of their papers we have counts for
6 papers · 1 filter
60 years of cyclic monotonicity: a survey
L. De Pascale, A. Kausamo, K. Wyczesany
The primary purpose of this note is to provide an instructional summary of the state of the art regarding cyclic monotonicity and related notions. We will also present how these no…
Sufficiency of -cyclical monotonicity in a class of multimarginal optimal transport problems
Luigi De Pascale, Anna Kausamo
-cyclical monotonicity is the most important optimality condition for an optimal transport plan. While the proof of necessity is relatively easy, the proof of sufficiency is oft…
A study of the dual problem of the one-dimensional L-infinity optimal transport problem with applications
Luigi De Pascale, Jean Louet
The Monge-Kantorovich problem for the infinite Wasserstein distance presents several peculiarities. Among them the lack of convexity and then of a direct duality. We study in dimen…
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…
The Monge problem with vanishing gradient penalization: Vortices and asymptotic profile
Luigi De Pascale, Jean Louet, Filippo Santambrogio
We investigate the approximation of the Monge problem (minimizing \int\_ |T (x) -- x| d(x) among the vector-valued maps T with prescribed image measure T \# ) by adding a…
The Monge-Kantorovich problem for distributions and applications
Guy Bouchitté, Giuseppe Buttazzo, Luigi De Pascale
We study the Kantorovich-Rubinstein transhipment problem when the difference between the source and the target is not anymore a balanced measure but belongs to a suitable subspace…