Zhenan Sui

activity

20142026

most citedOn estimates for fully nonlinear parabolic equations on Riemannian manifolds

8 citations · 10 across the 12 of their papers we have counts for

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Showing math.APShow all

6 papers · 1 filter

math.AP2026

Interior Hessian estimates for Hessian quotient equations in dimension three

Heming Jiao, Zhenan Sui

In this paper, we establish the interior Hessian estimates for $2$ -convex solutions to $\frac{σ _{2}}{σ _{1}} (D^{2} u) = ψ (x, u)$ in dimension three. In higher dimensions ( $n \geq 4$ ), we…

math.AP2024

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 $C^{1, 1}$ estimates when (i) $γ > 0$ and $1 \leq k \le…

math.AP2023

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.

math.AP2023

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.

math.AP2018★ 1 cited

Strictly Locally Convex Hypersurfaces with Prescribed Curvature and Boundary in Space Forms

Zhenan Sui

This paper is devoted to $C^{2}$ a priori estimates for strictly locally convex radial graphs with prescribed Weingarten curvature and boundary in space forms. By constructing two-st…

math.AP2014★ 8 cited

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…