Zhenan Sui

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20182026

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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.AP2018

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…