✦ LIBER ✦

Constant Mean Curvature Graphs on Unbounded Convex Domains

✍ Scribed by Rafael López

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 104 KB
Volume: 171
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.2000.3830

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✦ Synopsis

In this paper, we consider the Dirichlet problem for the constant mean curvature equation on an unbounded convex planar domain 0. Let H>0. We prove that there exists a graph with constant mean curvature H and with boundary 0 if and only if 0 is included in an infinite strip of width 1 H . We also establish an existence result for convex bounded domains contained in a strip.

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