Skip navigation
Skip navigation

Interior C 2,alpha regularity for potential functions in optimal transportation

Liu, Jiakun; Trudinger, Neil; Wang, Xu-Jia


In this paper we study the continuity of second derivatives of solutions to the Monge-Ampère equation arising in optimal transportation. We obtain Hölder and more general continuity estimates for second derivatives, when the inhomogeneous term is Hölde

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Communications in Partial Differential Equations
DOI: 10.1080/03605300903236609


File Description SizeFormat Image
01_Liu_Interior_C_2,alpha_regularity_2010.pdf193.22 kBAdobe PDFThumbnail

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

Updated:  17 November 2022/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator