Kai Zhang

collaborators

7 papers

math.DG2026

Asymptotic behavior at infinity of Weingarten surfaces

Aires E. M. Barbieri, JosÃ© A. GÃ¡lvez, Yuanyuan Lian +1

We derive the asymptotic expansion at infinity for embedded ends of uniformly elliptic Weingarten surfaces with finite total curvature in $R^{3}$ , and we establish a maximum…

math.AP2026

Inverse Spectral Problem With Low Regularity Refractive Index

Kewen Bu, Youjun Deng, Yan Jiang +1

This article investigates the unique determination of a radial refractive index n from spectral data. First, we demonstrate that for piecewise twice continuously differentiable fun…

math.AP2026

Pointwise Regularity for Fully Nonlinear Elliptic Equations in General Forms

Yuanyuan Lian, Lihe Wang, Kai Zhang

In this paper, we develop systematically the pointwise regularity for viscosity solutions of fully nonlinear elliptic equations in general forms. In particular, the equations with…

math.AP2025

Interior $C^{2, I^\pm}$ regularity for fully nonlinear uniformly elliptic equations in dimension two

Kai Zhang

In this note, we present the interior $C^{2, I^\pm}$ regularity for viscosity solutions of fully nonlinear uniformly elliptic equations in dimension two.

math.AP2025

Boundary HÃ¶lder gradient estimates for parabolic $p$ -Laplace type equations

Se-Chan Lee, Yuanyuan Lian, Hyungsung Yun +1

In this paper, we study the boundary regularity for viscosity solutions of parabolic $p$ -Laplace type equations. In particular, we obtain the boundary pointwise $C^{1, I^\pm}$ regulari…

math.DG2025

Conformal extremal metrics and constant scalar curvature

Xiaokui Yang, Kaijie Zhang

Let $M$ be a compact complex manifold of dimension $n \geq 2$ . We prove that for any Hermitian metric $I ¨ $ on $M$ , there exists a unique smooth function $f$ (up to additive constant…