info prev up next book cdrom email home

Bernstein Minimal Surface Theorem

If a Minimal Surface is given by the equation $z=f(x,y)$ and $f$ has Continuous first and second Partial Derivatives for all Real $x$ and $y$, then $f$ is a Plane.


Hazewinkel, M. (Managing Ed.). Encyclopaedia of Mathematics: An Updated and Annotated Translation of the Soviet ``Mathematical Encyclopaedia.'' Dordrecht, Netherlands: Reidel, p. 369, 1988.

© 1996-9 Eric W. Weisstein