Interior C² estimate for monge-ampère equation in dimension two

Journal Article

Abstract

We obtain a genuine local C2 estimate for the Monge-Ampère equation in dimension two, by using the partial Legendre transform.

UOW Authors

Liu, Jiakun

Publication Date

2021

Publisher

American Mathematical Society (AMS)

Published In

Proceedings of the American Mathematical Society Journal

Citation

Liu, J. (2021). Interior C² estimate for monge-ampère equation in dimension two. Proceedings of the American Mathematical Society, 149(6), 2479-2486. doi:10.1090/proc/15459

Digital Object Identifier (doi)

10.1090/proc/15459

Scopus Eid

2-s2.0-85104653621

Web Of Science Accession Number

WOS:000643563200019

Start Page

2479

End Page

2486

Volume

149

Issue

6

Abstract

We obtain a genuine local C2 estimate for the Monge-Ampère equation in dimension two, by using the partial Legendre transform.

UOW Authors

Liu, Jiakun

Publication Date

2021

Publisher

American Mathematical Society (AMS)

Published In

Proceedings of the American Mathematical Society Journal

Citation

Liu, J. (2021). Interior C² estimate for monge-ampère equation in dimension two. Proceedings of the American Mathematical Society, 149(6), 2479-2486. doi:10.1090/proc/15459

Digital Object Identifier (doi)

10.1090/proc/15459

Scopus Eid

2-s2.0-85104653621

Web Of Science Accession Number

WOS:000643563200019

Start Page

2479

End Page

2486

Volume

149

Issue

6