H. Jiao

collaborators

3 papers

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 $\frac{I ¨ _{2}}{I ¨ _{1}} (D^{2} u) = I ¨ (x, u)$ in dimension three. In higher dimensions ( $n \geq 4$ ),…

math.DG2026

Three Bernstein type theorems for hypersurfaces with zero Gaussian curvature

Slawomir Dinew, Mengru Guo, Heming Jiao

In this paper, we prove Bernstein type theorems for entire convex graphical hypersurfaces with zero Gaussian curvature in both Euclidean and Minkowski context. A supplementary exam…

math.AP2025

Locally uniform ellipticity of the fractional Hessian operators

Ziyu Gan, Heming Jiao

In [1], Caffarelli-Charro introduced a fractional Monge-AmpÃ¨re operator. Later, Wu [17] generalized it to a fractional analogue of $k$ -Hessian operators and proved the strict elli…