68 citations · 321 across the 52 of their papers we have counts for
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Dealing with moment measures via entropy and optimal transport
Filippo Santambrogio
A recent paper by Cordero-Erausquin and Klartag provides a characterization of the measures on which can be expressed as the moment measures of suitable convex functions…
First order Mean Field Games with density constraints: Pressure equals Price
Pierre Cardaliaguet, Alpár Richárd Mészáros, Filippo Santambrogio
In this paper we study Mean Field Game systems under density constraints as optimality conditions of two optimization problems in duality. A weak solution of the system contains an…
BV Estimates in Optimal Transportation and Applications
Guido De Philippis, Alpár Mészáros, Filippo Santambrogio +1
In this paper we study the BV regularity for solutions of variational problems in Optimal Transportation. As an application we recover BV estimates for solutions of some non-linear…
Advection-diffusion equations with density constraints
Alpár Richárd Mészáros, Filippo Santambrogio
In the spirit of the macroscopic crowd motion models with hard congestion (i.e. a strong density constraint ) introduced by Maury {\it et al.} some years ago, we analyze a…