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Matematicheskie Zametki, 2018, Volume 104, Issue 1, Pages 45–55
DOI: https://doi.org/10.4213/mzm11506 (Mi mzm11506) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On a Kantorovich Problem with a Density Constraint

A. N. Doledenok

Lomonosov Moscow State University
Full-text PDF (483 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm11506
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.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00662
This work was supported by the Russian Foundation for Basic Research under grant 17-01-00662.
Received: 24.12.2016
Revised: 16.05.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 1, Pages 39–47
DOI: https://doi.org/10.1134/S0001434618070052
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. N. Doledenok, “On a Kantorovich Problem with a Density Constraint”, Mat. Zametki, 104:1 (2018), 45–55; Math. Notes, 104:1 (2018), 39–47
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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