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On the Regularity of Optimal Transportation Potentials on Round Spheres

Von Nessi, Gregory


In this paper the regularity of optimal transportation potentials defined on round spheres is investigated. Specifically, this research generalises the calculations done by Loeper, where he showed that the strong (A3) condition of Trudinger and Wang is satisfied on the round sphere, when the cost-function is the geodesic distance squared. In order to generalise Loeper's calculation to a broader class of cost-functions, the (A3) condition is reformulated via a stereographic projection that maps...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Acta Applicandae Mathematicae
DOI: 10.1007/s10440-012-9764-5


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