Z. Sui

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20182026

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math.DG2025

Asymptotic Plateau problem for $3$ -convex hypersurface in $H^{5}$

Zhenan Sui

We prove the existence of a smooth complete $3$ -convex hypersurface which satisfies prescribed curvature equation $i = 1 \prod n (H - κ_{i}) = ((n - 1) σ)^{n}$ for $n…

math.DG2020

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…

math.DG2018

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 $H^{3}$ is proved under the…

math.DG2018

Strictly Locally Convex Radial Graphs of Prescribed Curvature and Boundary in Space Forms

Zhenan Sui

We obtain $C^{2}$ a priori estimates for solutions of the nonlinear second-order elliptic equation related to the geometric problem of finding a strictly locally convex hypersurface…

Asymptotic Plateau problem for 3-convex hypersurface in H5

Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic Space

Convex Hypersurfaces with Prescribed Scalar Curvature and Asymptotic Boundary in Hyperbolic Space

Strictly Locally Convex Radial Graphs of Prescribed Curvature and Boundary in Space Forms

Asymptotic Plateau problem for $3$ -convex hypersurface in $H^{5}$