Uniqueness and Monge solutions in the multi-marginal optimal transportation problem

Published 2 Jul 2010 in math.AP | (1007.0424v2)

Abstract: We study a multi-marginal optimal transportation problem. Under certain conditions on the cost function and the first marginal, we prove that the solution to the relaxed, Kantorovich version of the problem induces a solution to the Monge problem and that the solutions to both problems are unique.

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Brendan Pass

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