68 citations · 321 across the 52 of their papers we have counts for
5 papers · 2 filters
{ Euclidean, Metric, and Wasserstein } Gradient Flows: an overview
Filippo Santambrogio
This is an expository paper on the theory of gradient flows, and in particular of those PDEs which can be interpreted as gradient flows for the Wasserstein metric on the space of p…
A sharp estimate a la calderon-zygmund for the p--laplacian
Lorenzo Brasco, Filippo Santambrogio
We consider local weak solutions of the Poisson equation for the p--Laplace operator. We prove a higher differentiability result, under an essentially sharp condition on the right-…
Summability estimates on transport densities with dirichlet regions on the boundary via symmetrization techniques
Samer Dweik, Filippo Santambrogio
In this paper we consider the mass transportation problem in a bounded domain where a positive mass f + in the interior is sent to the boundary , appearing for insta…
Global-in-time regularity via duality for congestion-penalized Mean Field Games
Adam Prosinski, Filippo Santambrogio
After a brief introduction to one of the most typical problems in Mean Field Games, the congestion case (where agents pay a cost depending on the density of the regions they visit)…
A note on some Poincaré inequalities on convex sets by Optimal Transport methods
Lorenzo Brasco, Filippo Santambrogio
We show that a class of Poincaré-Wirtinger inequalities on bounded convex sets can be obtained by means of the dynamical formulation of Optimal Transport. This is a consequence of…