Holder regularity of optimal mappings in optimal transportation
RIS ID
77254
Abstract
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 C1,α regularity of potential functions with optimal exponent α, which improves previous regularity results of Loeper.
Publication Details
Liu, J. (2009). Holder regularity of optimal mappings in optimal transportation. Calculus of Variations and Partial Differential Equations, 34 (4), 435-451.