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math.OC2015
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…
math.OC2015★ 53 cited
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…