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arXiv · 1007.0424

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

Brendan Pass
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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. 2010-08-25. Uniqueness and Monge solutions in the multi-marginal optimal transportation problem. https://arxiv.org/abs/1007.0424

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