Nonlinear Kantorovich Problems with a Parameter

We consider nonlinear Kantorovich problems with marginal distributions and cost functions depending measurably on a parameter and prove that there exist optimal transportation plans that are also measurable with respect to the parameter. Unlike the classical linear Kantorovich problem of minimizatio...

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Bibliographic Details
Main Authors: V.I. Bogachev, I. I. Malofeev
Format: Article
Language:English
Published: Irkutsk State University 2022-09-01
Series:Известия Иркутского государственного университета: Серия "Математика"
Subjects:
Online Access:https://mathizv.isu.ru/en/article/file?id=1422