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Funktsional'nyi Analiz i ego Prilozheniya, 2023, Volume 57, Issue 4, Pages 3–16
DOI: https://doi.org/10.4213/faa4124 (Mi faa4124) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The nonlinear Kantorovich transportation problem with nonconvex costs

K. A. Afoninab

a Lomonosov Moscow State University
b Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.4213/faa4124
Abstract: The paper is devoted to the study of the Kantorovich optimal transportation problem with nonlinear cost functional generated by a cost function depending on the conditional measures of the transport plan. The case of a cost function nonconvex in the second argument is considered. It is proved that this nonlinear Kantorovich problem with general cost function on a Souslin space can be reduced to the same problem with a convex cost function.
Keywords: Kantorovich problem, conditional measure, nonlinear cost functional, cost function.
Funding agency Grant number
Russian Science Foundation 22-11-00015
Foundation for the Development of Theoretical Physics and Mathematics BASIS
Received: 17.05.2023
Revised: 17.05.2023
Accepted: 07.07.2023
English version:
Functional Analysis and Its Applications, 2023, Volume 57, Issue 4, Pages 267–278
DOI: https://doi.org/10.1134/S0016266323040019
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. A. Afonin, “The nonlinear Kantorovich transportation problem with nonconvex costs”, Funktsional. Anal. i Prilozhen., 57:4 (2023), 3–16; Funct. Anal. Appl., 57:4 (2023), 267–278
Citation in format AMSBIB
\Bibitem{Afo23}
\by K.~A.~Afonin
\paper The nonlinear Kantorovich transportation problem with nonconvex costs
\jour Funktsional. Anal. i Prilozhen.
\yr 2023
\vol 57
\issue 4
\pages 3--16
\mathnet{http://mi.mathnet.ru/faa4124}
\crossref{https://doi.org/10.4213/faa4124}
\transl
\jour Funct. Anal. Appl.
\yr 2023
\vol 57
\issue 4
\pages 267--278
\crossref{https://doi.org/10.1134/S0016266323040019}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85189074268}
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  • https://doi.org/10.4213/faa4124
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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