On the second boundary value problem for Monge-Ampere type equations and optimal transportation

Trudinger, Neil; Wang, Xu-Jia

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On the second boundary value problem for Monge-Ampere type equations and optimal transportation

Date

2009

Authors

Trudinger, Neil

Wang, Xu-Jia

Publisher

American Mathematical Society

Abstract

This paper is concerned with the existence of globally smooth solutions for the second boundary value problem for certain Monge-Ampèe type equations and the application to regularity of potentials in optimal transportation. In particular we address the f