Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces
Analysis of PDEs
2018-05-03 v1 Mathematical Physics
math.MP
Optimization and Control
Abstract
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.
Keywords
Cite
@article{arxiv.1805.00880,
title = {Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces},
author = {Augusto Gerolin and Anna Kausamo and Tapio Rajala},
journal= {arXiv preprint arXiv:1805.00880},
year = {2018}
}
Comments
18 pages