68 citations · 321 across the 52 of their papers we have counts for
4 papers · 1 filter
New estimates on the regularity of the pressure in density-constrained Mean Field Games
Hugo Lavenant, Filippo Santambrogio
We consider variational Mean Field Games endowed with a constraint on the maximal density of the distribution of players. Minimizers of the variational formulation are equilibria f…
Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour
Mikaela Iacobelli, Francesco Patacchini, Filippo Santambrogio
In this paper we devote our attention to a class of weighted ultrafast diffusion equations arising from the problem of quantisation for probability measures. These equations have a…
bounds for boundary-to-boundary transport densities, and bounds for the BV least gradient problem in 2D
Filippo Santambrogio, Samer Dweik
The least gradient problem (minimizing the total variation with given boundary data) is equivalent, in the plane, to the Beckmann minimal-flow problem with source and target measur…
Minimal-time mean field games
Guilherme Mazanti, Filippo Santambrogio
This paper considers a mean field game model inspired by crowd motion where agents want to leave a given bounded domain through a part of its boundary in minimal time. Each agent i…