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Journal articles
Continuity and Estimates for Multimarginal Optimal Transportation Problems with Singular Costs
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.
Cited literature [28 references]
https://hal-univ-tln.archives-ouvertes.fr/hal-01358148
Contributor : Thierry Champion Connect in order to contact the contributor
Submitted on : Wednesday, August 31, 2016 - 10:55:01 AM
Last modification on : Tuesday, December 7, 2021 - 4:26:03 PM
Long-term archiving on: : Friday, December 2, 2016 - 8:50:03 AM
Contributor : Thierry Champion Connect in order to contact the contributor
Submitted on : Wednesday, August 31, 2016 - 10:55:01 AM
Last modification on : Tuesday, December 7, 2021 - 4:26:03 PM
Long-term archiving on: : Friday, December 2, 2016 - 8:50:03 AM
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