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On c-cyclical monotonicity for optimal transport problem with Coulomb cost
Published online by Cambridge University Press: 23 May 2019
Abstract
It is proved that c-cyclical monotonicity is a sufficient condition for optimality in the multi-marginal optimal transport problem with Coulomb repulsive cost. The notion of c-splitting set and some mild regularity property are the tools. The result may be extended to Coulomb like costs.
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- European Journal of Applied Mathematics , Volume 30 , Special Issue 6: Applied Optimal Transport , December 2019 , pp. 1210 - 1219
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- © Cambridge University Press 2019
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