5 papers
Hypersurfaces of constant higher order mean curvature in hyperbolic space with prescribed asymptotic boundary at infinity
Bin Wang
In this note, we prove the existence of smooth complete admissible hypersurfaces in hyperbolic space with constant higher order mean curvature and a prescribed asymptotic boundary…
A Liouville type rigidity result for entire solutions of the -Hessian equation
Bin Wang
In this note, we prove a Liouville type rigidity result for smooth entire solutions of the -Hessian equation. The proof makes use of a concavity inequality for the -Hessian o…
A note on interior curvature estimates for strictly convex solutions to the equation of prescribed curvature quotient
Bin Wang
In this note, we prove a priori interior curvature bounds for strictly convex solutions to elliptic Weingarten curvature quotient equations. The proof does not employ the advanced…
Curvature estimates for hypersurfaces of constant curvature in hyperbolic space II
Bin Wang
In this note, we investigate the existence of smooth complete hypersurfaces in hyperbolic space with constant -curvature and a prescribed asymptotic boundary at infinity. Pr…
Hypersurfaces of constant scalar curvature in hyperbolic space with prescribed asymptotic boundary at infinity
Bin Wang
This article concerns a natural generalization of the classical asymptotic Plateau problem in hyperbolic space. We prove the existence of a smooth complete hypersurface of constant…