Submitted Paper

Inserted: 19 dec 2016
Last Updated: 19 dec 2016

Year: 2016

Abstract:

In this paper we consider the mass transport problem in the case of a relativistic cost; we can establish the continuity of the total cost, together with a general estimate about the directions in which the mass can actually move, under mild assumptions. These results generalize those recently obtained by J.Bertrand, A.Pratelli and M.Puel, also positively answering some of the open questions there.

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