4 papers
Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic Space
Zhenan Sui, Wei Sun
We prove the existence of a complete locally Lipschitz continuous hypersurface in weak sense with prescribed Weingarten curvature and asymptotic boundary at infinity in hyperbolic…
Convex Hypersurfaces with Prescribed Scalar Curvature and Asymptotic Boundary in Hyperbolic Space
Zhenan Sui
The existence of a smooth complete strictly locally convex hypersurface with prescribed scalar curvature and asymptotic boundary at infinity in is proved under the…
Strictly Locally Convex Radial Graphs of Prescribed Curvature and Boundary in Space Forms
Zhenan Sui
We obtain a priori estimates for solutions of the nonlinear second-order elliptic equation related to the geometric problem of finding a strictly locally convex hypersurface…
Strictly Locally Convex Hypersurfaces with Prescribed Curvature and Boundary in Space Forms
Zhenan Sui
This paper is devoted to a priori estimates for strictly locally convex radial graphs with prescribed Weingarten curvature and boundary in space forms. By constructing two-st…