A note on the contact angle boundary condition for monge-ampère equations

John Urbas*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    Abstract

    We give a simple proof of a result of Xinan Ma concerning a necessary condition for the solvability of the two-dimensional Monge-Ampère equation subject to the contact angle or capillarity boundary condition. Our technique works for more general Monge-Ampère equations in any dimension, and also extends to some other boundary conditions.

    Original languageEnglish
    Pages (from-to)853-855
    Number of pages3
    JournalProceedings of the American Mathematical Society
    Volume128
    Issue number3
    DOIs
    Publication statusPublished - 2000

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