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Optimal regularity of minimal graphs in the hyperbolic space
We discuss the global regularity of solutions to the Dirichlet problem
for minimal graphs in the hyperbolic space when the boundary of the domain
has a nonnegative mean curvature and prove an
optimal regularity . We can improve the
H\"older exponent for if certain combinations of principal curvatures of
the boundary do not vanish, a phenomenon observed by F.-H. Lin.Comment: Accepted by Calc. Var. Partial Differential Equation
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