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Kantorovich Problems with a Parameter and Density Constraints

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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.

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Funding

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.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    V. I. Bogachev

  2. National Research University Higher School of Economics, Moscow, Russia

    V. I. Bogachev

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  1. V. I. Bogachev
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Correspondence to V. I. Bogachev.

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Translated from Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 1, pp. 42–57. https://doi.org/10.33048/smzh.2022.63.103

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Bogachev, V.I. Kantorovich Problems with a Parameter and Density Constraints. Sib Math J 63, 34–47 (2022). https://doi.org/10.1134/S0037446622010037

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  • DOI: https://doi.org/10.1134/S0037446622010037

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