Article contents
A Remark on minimal Lagrangian diffeomorphisms and the Monge-Ampère equation
Published online by Cambridge University Press: 17 April 2009
Extract
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
- 2
- Cited by