On the local theory of prescribed Jacobian equations revisited

In this paper we revisit our previous study of the local theory of prescribed Jacobian equations associated with generating functions, which are extensions of cost functions in the theory of optimal transportation. In particular, as foreshadowed in the earlier work, we provide details pertaining to...

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Bibliographic Details
Main Author: Neil S. Trudinger
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:Mathematics in Engineering
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/mine.2021048?viewType=HTML