A remark on minimal lagrangian diffeomorphisms and the Monge-Ampère equation

John Urbas*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    Abstract

    We construct a counterexample to a theorem of Jon Wolfson concerning the existence of globally smooth solutions of the second boundary value problem for Monge-Ampère equations in two dimensions, or equivalently, on the existence of minimal Lagrangian diffeomorphisms between simply connected domains in R2. Copyright Clearance Centre, Inc.

    Original languageEnglish
    Pages (from-to)215-218
    Number of pages4
    JournalBulletin of the Australian Mathematical Society
    Volume76
    Issue number2
    DOIs
    Publication statusPublished - Oct 2007

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