Calculus of Variations and Geometric Measure Theory
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S. Di Marino - F. Stra - M. Colombo

Continuity of multi-marginal optimal transport with repulsive cost

created by dimarino on 17 Jan 2019

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Inserted: 17 jan 2019
Last Updated: 17 jan 2019

Year: 2019

Abstract:

We provide sharp conditions for the finiteness and the continuity of multi-marginal optimal transport with repulsive cost, expressed in terms of a suitable concentration property of the measure. To achieve this result, we analyze the Kantorovich potentials of the optimal plans and we estimate the distance of any optimal plan from the regions where the cost is infinite.


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