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Holder regularity of optimal mappings in optimal transportation

Liu, Jiakun


It is known that optimal mappings in optimal transportation problems are uniquely determined by corresponding potential functions. In this paper we prove various local properties of potential functions. In particular we obtain the C 1,α regularity of pot

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
Source: Calculus of Variations and Partial Differential Equations
DOI: 10.1007/s00526-008-0190-5


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