An existence theorem of constant mean curvature graphs in Euclidean space
Published online by Cambridge University Press: 26 February 2003
Extract
We prove the following result of existence of graphs with constant mean curvature in Euclidean space: given a convex bounded planar domain \Omega of area a(\Omega) and a real number H such that a(\Omega)H^2<\pi/2, there exists a graph on \Omega with constant mean curvature H and whose boundary is \partial\Omega.
- Type
- Research Article
- Information
- Copyright
- 2002 Glasgow Mathematical Journal Trust
Footnotes
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