Skip navigation
Skip navigation

On the Regularity of Optimal Transportation Potentials on Round Spheres

Von Nessi, Gregory

Description

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
URI: http://hdl.handle.net/1885/31714
Source: Acta Applicandae Mathematicae
DOI: 10.1007/s10440-012-9764-5

Download

File Description SizeFormat Image
01_Von Nessi_On_the_Regularity_of_Optimal_2012.pdf776.28 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator