The Kantorovich problem with a parameter and density constraints

DOI10.1134/S0001434621110328MaRDI QIDQ2063687

A. N. Doledenok, Vladimir I. Bogachev, Ilya I. Malofeev

Publication date: 11 January 2022

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

optimal transportKantorovich problemmeasurability with respect to parameter

Mathematics Subject Classification ID

Set functions and measures on topological spaces (regularity of measures, etc.) (28C15) Probability theory on algebraic and topological structures (60Bxx) Optimal transportation (49Q22) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46Gxx)

Related Items (6)

On the monopolist problem and its dual ⋮ On Kantorovich problems with a parameter ⋮ Unnamed Item ⋮ Kantorovich problems with a parameter and density constraints ⋮ Existence of solutions to the nonlinear Kantorovich transportation problem ⋮ Nonlinear Kantorovich problems with a parameter

Cites Work

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• Convex analysis and measurable multifunctions
• On a Kantorovich problem with a density constraint
• On optimization of tax functions
• On the Kantorovich problem with a parameter
• Kantorovich problems and conditional measures depending on a parameter
• On sequential properties of spaces of measures
• The Monge-Kantorovich problem: achievements, connections, and perspectives
• Weak Convergence of Measures
• Optimal transportation with capacity constraints
• Optimal Transport

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