scholarly journals Erratum: On the Dirichlet problem for minimal graphs in hyperbolic space

2011 ◽  
Vol 187 (3) ◽  
pp. 755-757 ◽  
Author(s):  
Fanghua Lin
Keyword(s):  
Dirichlet Problem ◽  
Hyperbolic Space ◽  
Minimal Graphs

scholarly journals Dirichlet problem for f-minimal graphs

2019 ◽  
Vol 138 (2) ◽  
pp. 917-950 ◽  
Author(s):  
Jean-Baptiste Casteras ◽  
Esko Heinonen ◽  
Ilkka Holopainen
Keyword(s):  
Dirichlet Problem ◽  
Minimal Graphs

scholarly journals Gradient estimates for the constant mean curvature equation in hyperbolic space

2019 ◽  
Vol 150 (6) ◽  
pp. 3216-3230
Author(s):  
Rafael López
Keyword(s):  
Dirichlet Problem ◽  
Hyperbolic Space ◽  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Gradient Estimates ◽  
Maximum Principles ◽  
Convex Domains ◽  
Curvature Equation ◽  
Mean Curvature Equation ◽  
The Mean

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.

scholarly journals Refined asymptotics for minimal graphs in the hyperbolic space

2017 ◽  
Vol 62 (2) ◽  
pp. 381-390 ◽  
Author(s):  
Weiming Shen ◽  
Yue Wang
Keyword(s):  
Hyperbolic Space ◽  
Minimal Graphs

scholarly journals Existence and uniqueness of minimal graphs in hyperbolic space

2000 ◽  
Vol 4 (3) ◽  
pp. 669-694 ◽  
Author(s):  
Ricardo Sa Earp ◽  
Eric Toubiana
Keyword(s):  
Hyperbolic Space ◽  
Existence And Uniqueness ◽  
Minimal Graphs
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