arXiv:1805.00880 Abstract | arXiv Analytics

arXiv:1805.00880 [math.AP]Abstract References Reviews Resources

Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces

Augusto Gerolin, Anna Kausamo, Tapio Rajala

Published 2018-05-02Version 1

In this paper we extend the duality theory of the multi-marginal optimal transport problem for cost functions depending on a decreasing function of the distance (not necessarily bounded). This class of cost functions appears in the context of SCE Density Functional Theory introduced in "Strong-interaction limit of density-functional theory" by M. Seidl.

Comments: 18 pages

Categories: math.AP, math-ph, math.MP, math.OC

Keywords: duality theory, metric spaces, repulsive costs, multi-marginal optimal transport problem, sce density functional theory

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