Article contents
Smoothness of the solution of the trivial Monge-Ampère equation
Published online by Cambridge University Press: 17 April 2009
Abstract
A solution of the equation must be C2 smooth, need not be C3 smooth, but at the same time the ratio zxy: zxx is C1 (provided zxx ≠ 0). An analytical proof of this fact is given; the underlying geometrical interpretation is discussed.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 439 - 445
- Copyright
- Copyright © Australian Mathematical Society 1997
References
- 1
- Cited by