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Constant mean curvature graphs on exterior domains of the hyperbolic plane

✍ Scribed by Giovanna Citti, Cosimo Senni


Book ID
118780578
Publisher
Springer-Verlag
Year
2011
Tongue
French
Weight
496 KB
Volume
272
Category
Article
ISSN
0025-5874

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Constant Mean Curvature Graphs on Unboun
✍ Rafael LΓ³pez πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 104 KB

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 es