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.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. The explicit general solution of trivial Monge-Amp�re equation;Commentarii Mathematici Helvetici;2000-04-01
2. Developable surfaces in Euclidean space;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1999-06