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The Dirichlet problem
for constant mean curvature graphs in ℍ ×
ℝ over unbounded domains
Abigail Folha and Sofia Melo |
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Vol. 251 (2011), No. 1, 37–65
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Abstract |
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We study graphs of constant
mean curvature H in ℍ × ℝ, where ℍ is the hyperbolic plane. When 0 < H < |
, we
find necessary and sufficient conditions for the existence of these graphs over
unbounded domains in
Keywords
constant mean curvature, unbounded domain, graph, Dirichlet
problem
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Mathematical Subject Classification 2000
Primary: 53A10, 53C42
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Milestones
Received: 16 March 2010
Accepted: 13 October 2010
Published: 22 April 2011
Proposed: Robert Finn
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Authors |
| Abigail Folha | |
| Instituto de Matemática -
Departamento de Geometria Universidade Federal Fluminense R. Mário Santos Braga, S/N Campus do Valonguinho 24020-140 Niterói RJ Brazil |
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| Sofia Melo | |
| Departamento de Matemática –
ICE Universidade Federal de Juiz de Fora Cidade Universitária 36036-330 Juiz de Fora, MG Brazil |
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