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

Published online by Cambridge University Press:  17 April 2009

John Urbas
John Urbas
Affiliation:
Centre for Mathematics and its Applications, Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, Australia e-mail: urbas@maths.anu.edu.au
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 76 , Issue 2 , October 2007 , pp. 215 - 218
Copyright
Copyright © Australian Mathematical Society 2007

References

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