Gradient estimates for the constant mean curvature equation in hyperbolic space
2019 ◽
Vol 150
(6)
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pp. 3216-3230
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AbstractWe establish gradient estimates for solutions to the Dirichlet problem for the constant mean curvature equation in hyperbolic space. We obtain these estimates on bounded strictly convex domains by using the maximum principles theory of Φ-functions of Payne and Philippin. These estimates are then employed to solve the Dirichlet problem when the mean curvature H satisfies H < 1 under suitable boundary conditions.
2002 ◽
Vol 181
(1)
◽
pp. 230-241
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2004 ◽
Vol 2004
(18)
◽
pp. 913-948
Keyword(s):
Keyword(s):
2016 ◽
Vol 33
(18)
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pp. 185001
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