References
[An 1] Anderson, M.: Complete minimal varieties in hyperbolic space. Invent Math.69, 477–494 (1982)
[An 2] Anderson, M.: Complete minimal hypersurfaces in hyperbolicn-manifolds. Comment. Math. Helv.58, 264–290 (1983)
[GT] Gilberg, D., Trudinger, N.: Elliptic partial differential equations of second order. Berlin-Heidelberg-New York: Springer 1977
[HL] Hardt, R., Lin, F.H.: Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space. Invent. Math.88, 217–224 (1987)
[KN] Kohn, J.J., Nirenberg, L.: Degenerated elliptic-parabolic equations of second order. Commun. Pure Appl. Math.20, 797–872 (1967)
[L] Lin, F.H.: Regularity for a class of parametric obstacle problems. Ph.D. Thesis (July 1985), Univ. of Minnesota, Minneapolis
[L2] Lin, F.H.: Asymptotic behavior of complete area-minimizing currents in hyperbolic space. To appear in CPAM (1989)
[LL] Lau, C.P., Lin, F.H.: The best Holder exponent for non-parametric least area problem. Ind. Univ. Math. J.4, 809–813 (1985)
[MN] Morrey, C.B., Nirenberg, L.: On the analyticity of the solutions of linear elliptic systems of partial differential equations. Commun Pure Appl. Math.10, 271–290 (1957)
[SL 1] Simon, L.: Boundary regularity for solutions of the non-parametric least area problem. Ann. Math.103, 429–455 (1976)
[SL 2] Simon, L.: Boundary behavior of solutions of the non-parametric least area problem. Aust. Math. Bull26, 17–27 (1982)
[SU] Sachs, J., Uhlenbeck, K.: Minimal immersion of Riemann surfaces in Riemannian manifold. Trans. Am. Math. Soc.271, 639–652 (1982)
[SY] Schoen, R., Yau, S.T.: Existence of incompressible minimal surfaces and the topology of 3-manifolds with non-negative scalar curvature. Ann. Math.110, 127–142 (1979)
[U] Uhlenbeck, K.: Closed minimal surfaces in hyperbolic 3-manifolds. In: “Siminar on minimal submanifolds, Bombieri, E. (ed.) Ann. Math. Studies103, 147–168 (1983)
[W] Williams, G.: The Dirichlet problem for the minimal surface equations with Lipschitz continuous boundary data. CMA-R-41-83 Australian National Univ. See also CMA-R01-84
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An erratum to this article can be found at http://dx.doi.org/10.1007/s00222-011-0370-3
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Lin, F.H. On the Dirichlet problem for minimal graphs in hyperbolic space. Invent Math 96, 593–612 (1989). https://doi.org/10.1007/BF01393698
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DOI: https://doi.org/10.1007/BF01393698