Optimal transportation with constant constraint
type: Item
instance of: scholarly article
title: Optimal transportation with constant constraint
zbMATH Open document ID: 1397.49062
author: Y. Aharonov
published in: Involve
publication date: 2018-06-13T00:00:00Z
review text: In this paper, the authors consider optimal transportation problems with constraint, for which the upper bound \(h(x, y)\) of the density \(H\) on the product spaces is constant and \(h \geq 1\). They propose simplifications of proofs for many previous results and examples [\textit{J. Korman} et al., Calc. Var. Partial Differ. Equ. 54, No. 1, 573--584 (2015; Zbl 1331.90095); \textit{J. Korman} and \textit{R. J. McCann}, Trans. Am. Math. Soc. 367, No. 3, 1501--1521 (2015; Zbl 1305.90065)], and also present explicit examples of optimal transportation plans for all constraints \(h \geq 1\).
reviewed by: Doina Carp
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 90C08
zbMATH DE Number: 6887327
zbMATH Keywords: optimal transportation
MaRDI profile type: Publication
full work available at URL: involve.2019.12.1
OpenAlex ID: W2807762018
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DOI: 10.2140/INVOLVE.2019.12.1
description: scientific article; zbMATH DE number 6887327