Hölder continuity for optimal multivalued mappings

Details Hölder continuity for optimal multivalued mappings Hölder continuity for optimal multivalued mappings

2010-07-20

arxiv.org/abs/1007.3395v1

Mathematics

Analysis of PDEs

21 pages

Scientific paper

Gangbo and McCann showed that optimal transportation between hypersurfaces
generally leads to multivalued optimal maps - bivalent when the target surface
is strictly convex. In this paper we quantify H\"older continuity of the
bivalent map optimizing average distance squared between arbitrary measures
supported on Euclidean spheres.

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