On the Duality Theory for the Monge-Kantorovich Transport Problem

2010/10/26 by Mathias Beiglböck, Christian Léonard, Beiglböck, Mathias +3
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1010.5403

openalex publication_date 2010/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

The paper is accompanying "A general Duality Theorem for the Monge-Kantorovich Transport Problem". We explain the methods used in this article in an elementary setting and present two examples complementing the results obtained therein.

Citations

• The geometry of optimal transportation

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