This article is cited in 9 papers

On a Kantorovich Problem with a Density Constraint

A. N. Doledenok

Lomonosov Moscow State University

Abstract: The Kantorovich optimal transport problem with a density constraint on measures on an infinite-dimensional space is considered. In this setting, the admissible transport plan is nonnegative and majorized by a given constraint-function. The existence and the uniqueness of a solution of this problem are proved.

Keywords: Kantorovich problem, constrained problem, optimal transport, infinite-dimensional analysis.

UDC: 519.2

Received: 24.12.2016
Revised: 16.05.2017

DOI: 10.4213/mzm11506

 English version: Mathematical Notes, 2018, 104:1, 39–47

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