A general condition for Monge solutions in the multi-marginal optimal transport problem
Analysis of PDEs
2013-07-25 v1
Abstract
We develop a general condition on the cost function which is sufficient to imply Monge solution and uniqueness results in the multi-marginal optimal transport problem. This result unifies and generalizes several results in the rather fragmented literature on multi-marginal problems. We also provide a systematic way to generate new examples from old ones.
Keywords
Cite
@article{arxiv.1307.6293,
title = {A general condition for Monge solutions in the multi-marginal optimal transport problem},
author = {Young-Heon Kim and Brendan Pass},
journal= {arXiv preprint arXiv:1307.6293},
year = {2013}
}