Stratified Monge-Kantorovich optimal transport problems

Mohammad Ali Ahmadpoor, Abbas Moameni

In this paper, we investigate Monge-Kantorovich problems for which the absolute continuity of marginals is relaxed. For $X,Y\subseteq {\mathbb{R}}^{n+1}$ let $(X,{\mathcal{B}}_X,\mu )$ and…