Continuity and Estimates for Multimarginal Optimal Transportation Problems with Singular Costs View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-08

AUTHORS

Giuseppe Buttazzo, Thierry Champion, Luigi De Pascale

ABSTRACT

We consider some repulsive multimarginal optimal transportation problems which include, as a particular case, the Coulomb cost. We prove a regularity property of the minimizers (optimal transportation plan) from which we deduce existence and some basic regularity of a maximizer for the dual problem (Kantorovich potential). This is then applied to obtain some estimates of the cost and to the study of continuity properties. More... »

PAGES

185-200

References to SciGraph publications

  • 1984-11. Duality theorems for marginal problems in PROBABILITY THEORY AND RELATED FIELDS
  • 2012-03. On the local structure of optimal measures in the multi-marginal optimal transportation problem in CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00245-017-9403-7

    DOI

    http://dx.doi.org/10.1007/s00245-017-9403-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1083893102


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