Ontology type: schema:ScholarlyArticle Open Access: True
2018-08
AUTHORSGiuseppe Buttazzo, Thierry Champion, Luigi De Pascale
ABSTRACTWe 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... »
PAGES185-200
http://scigraph.springernature.com/pub.10.1007/s00245-017-9403-7
DOIhttp://dx.doi.org/10.1007/s00245-017-9403-7
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