8 citations · 10 across the 12 of their papers we have counts for
13 papers
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\…
Interior Hessian estimates for Hessian quotient equations in dimension three
Heming Jiao, Zhenan Sui
In this paper, we establish the interior Hessian estimates for -convex solutions to in dimension three. In higher dimensions (), we…
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…
Existence of solution to modified Gursky-Streets equation
Yi Huang, Zhenan Sui, Mingyu Xie
We solve the modified Gursky-Streets equation, which is a fully nonlinear equation arising in conformal geometry with uniform estimates when (i) and $1 \leq k \le…
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…
Weak solutions to Hessian type equations on compact Riemannian manifolds
Zhenan Sui, Wei Sun
In this paper, we shall study the existence of weak solutions to Hessian type equations on compact Riemannian manifolds without boundary.
Interior gradient estimates for prescribed curvature equations in hyperbolic space
Zhenan Sui, Wei Sun
In this paper, we study the interior gradient estimates for admissible solutions to prescribed curvature equations in hyperbolic space.
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…
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…
On estimates for fully nonlinear parabolic equations on Riemannian manifolds
Bo Guan, Shujun Shi, Zhenan Sui
We present some new ideas to derive {\em a priori} second order estiamtes for a wide class of fully nonlinear parabolic equations. Our methods, which produce new existence results…