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A Remark on minimal Lagrangian diffeomorphisms and the Monge-Ampère equation

Publisher: Cambridge University Press

E-ISSN: 1755-1633|76|2|215-218

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.76, Iss.2, 2007-10, pp. : 215-218

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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.