Zhenan Sui, Wei Sun
Published 2021-04-20Version 1
In \cite{Sui2019}, we proved the existence of a complete Lipschitz continuous weak admissible hypersurface with prescribed Weingarten curvature and asymptotic boundary at infinity in hyperbolic space under certain assumptions. In this paper, we investigate further on the existence of smooth solutions by establishing Pogorelov type interior second order estimates in hyperbolic space for some special asymptotic boundaries.
On the asymptotic Plateau problem in hyperbolic space
Interior curvature estimates and the asymptotic plateau problem in hyperbolic space
On the asymptotic Plateau problem for CMC hypersurfaces in hyperbolic space
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