8 citations · 10 across the 12 of their papers we have counts for
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The Asymptotic Plateau Problem for -Convex Hypersurfaces in Hyperbolic Space
Shujun Shi, Zhenan Sui
We solve the asymptotic Plateau problem in hyperbolic space for the curvature given by the normalized geometric mean of the -fold sums of the principal curvatures. For every $n\…
Asymptotic Plateau problem for -convex hypersurface in
Zhenan Sui
We prove the existence of a smooth complete -convex hypersurface which satisfies prescribed curvature equation for $n…
On Fully Nonlinear Loewner-Nirenberg Problem of Ricci curvature
Zhenan Sui
We prove the existence of a smooth complete conformal metric with prescribed kth elementary symmetric function of negative Ricci curvature under certain condition on general domain…
Smooth Solutions to Asymptotic Plateau Type Problem in Hyperbolic Space
Zhenan Sui, Wei Sun
We investigate on the existence of smooth complete hypersurface with prescribed Weingarten curvature and asymptotic boundary at infinity in hyperbolic space under the assumption th…
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…