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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.

Publication Date


  • 2021

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

Scopus Eid


  • 2-s2.0-85104653621

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.

Publication Date


  • 2021

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

Scopus Eid


  • 2-s2.0-85104653621

Start Page


  • 2479

End Page


  • 2486

Volume


  • 149

Issue


  • 6