This is the second of a series of papers in which we investigate the problem of finding, in hyperbolic space, complete hypersurfaces of constant curvature with a prescribed asymptotic boundary at infinity for a general class of curvature functions. In this paper we focus on graphs over a domain with nonnegative mean curvature.
Cite this article
Joel Spruck, Bo Guan, Hypersurfaces of constant curvature in hyperbolic space II. J. Eur. Math. Soc. 12 (2010), no. 3, pp. 797–817DOI 10.4171/JEMS/215