Young-Heon Kim, Brendan Pass
Published 2013-07-24Version 1
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.
Existence and uniqueness of Monge minimizers for a Multi-marginal Optimal Transport problem with intermolecular interactions cost
Existence and uniqueness results for viscous, heat-conducting 3-D fluid with vacuum
New regularity and uniqueness results in the multidimensional Calculus of Variations
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