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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 1, Pages 42–57
DOI: https://doi.org/10.33048/smzh.2022.63.103 (Mi smj7640) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Kantorovich problems with a parameter and density constraints

V. I. Bogachevab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Department of Mathematics, National Research University "Higher School of Economics", Moscow
Full-text PDF (352 kB) Citations (7)
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DOI: https://doi.org/10.33048/smzh.2022.63.103
Abstract: We discuss Kantorovich problems with a parameter and density constraints. Also we give some new results on the continuity of solutions with respect to a parameter along with a survey of results on measurability of solutions with respect to a parameter.
Keywords: Kantorovich problem, Kantorovich problem with a density constraint, continuity with respect to a parameter, measurability with respect to a parameter.
Funding agency Grant number
Russian Foundation for Basic Research 20–01–00432
Moscow Center of Fundamental and Applied Mathematics
This paper was supported by the Russian Foundation for Basic Research (Grant no. 20–01–00432) and the Moscow Center of Fundamental and Applied Mathematics.
Received: 25.11.2021
Revised: 25.11.2021
Accepted: 10.12.2021
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 1, Pages 34–47
DOI: https://doi.org/10.1134/S0037446622010037
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. I. Bogachev, “Kantorovich problems with a parameter and density constraints”, Sibirsk. Mat. Zh., 63:1 (2022), 42–57; Siberian Math. J., 63:1 (2022), 34–47
Citation in format AMSBIB
\Bibitem{Bog22}
\by V.~I.~Bogachev
\paper Kantorovich problems with a~parameter and density constraints
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 1
\pages 42--57
\mathnet{http://mi.mathnet.ru/smj7640}
\crossref{https://doi.org/10.33048/smzh.2022.63.103}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4440264}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 1
\pages 34--47
\crossref{https://doi.org/10.1134/S0037446622010037}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :60
    References:21
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