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ON CONSTANT MEAN CURVATURE GRAPHS WITH CONVEX BOUNDARY
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 Title & Authors
ON CONSTANT MEAN CURVATURE GRAPHS WITH CONVEX BOUNDARY
Park, Sung-Ho;
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 Abstract
We give area and height estimates for cmc-graphs over a bounded planar domain . For a constant H satisfying , we show that the height of H-graphs over with vanishing boundary satisfies < , where is the middle zero of . We use this height estimate to prove the following existence result for cmc H-graphs: for a constant H satisfying < , there exists an H-graph with vanishing boundary.
 Keywords
constant mean curvature;height estimate;Dirichlet problem;
 Language
English
 Cited by
 References
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