Calculus of Variations and Geometric Measure Theory

J. Louet - A. Pratelli - F. Zeisler

On the continuity of the total cost in the mass transport problem with relativistic cost functions

created by louet on 19 Dec 2016


Submitted Paper

Inserted: 19 dec 2016
Last Updated: 19 dec 2016

Year: 2016


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.