| Issue |
ESAIM: COCV
Volume 25, 2019
|
|
|---|---|---|
| Article Number | 62 | |
| Number of page(s) | 21 | |
| DOI | https://doi.org/10.1051/cocv/2018062 | |
| Published online | 25 October 2019 | |
Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces*
Department of Mathematics and Statistics, University of Jyvaskyla,
PO Box 35,
40014
Jyvaskyla, Finland.
** Corresponding author: tapio.m.rajala@jyu.fi
Received:
11
May
2018
Accepted:
4
November
2018
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 Seidl [Phys. Rev. A 60 (1999) 4387].
Mathematics Subject Classification: 49N15 / 49J45 / 49K30
Key words: Multi-marginal optimal transport / repulsive costs / Kantorovich duality
© EDP Sciences, SMAI 2019
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