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math.AP2011
A Modest Proposal for MFG with Density Constraints
Filippo Santambrogio
We consider a typical problem in Mean Field Games: the congestion case, where in the cost that agents optimize there is a penalization for passing through zones with high density o…
math.AP2011★ 6 cited
A sharp inequality for transport maps in W^{1,p}(R) via approximation
Jean Louet, Filippo Santambrogio
For convex and increasing, we prove the inequality , every time that is a Sobolev function of one variable and is the non-decreasing map…