Skip navigation
Skip navigation

On Pogorelov estimates for Monge-Ampère type equations

Trudinger, Neil; Liu, Jiakun


In this paper, we prove interior second derivative estimates of Pogorelov type for a general form of Monge-Ampère equation which includes the optimal transportation equation. The estimate extends that in a previous work with Xu-Jia Wang and assumes only that the matrix function in the equation is regular with respect to the gradient variables, that is it satisfies a weak form of the condition introduced previously by Ma, Trudinger and Wang for regularity of optimal transport mappings. We also...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Discrete and Continuous Dynamical Systems
DOI: 10.3934/dcds.2010.28.1121


There are no files associated with this item.

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

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator