N. Xiang

activity

20162022

most citedInverse mean curvature flow inside a cone in warped products

4 citations · 9 across the 12 of their papers we have counts for

collaborators

Showing 2019 · math.APShow all

4 papers · 2 filters

math.AP2019

A Pogorelov estimate and a Liouville type theorem to parabolic $k$ -Hessian equations

Yan He, Haoyang Sheng, Ni Xiang

We consider Pogorelov type estimates and Liouville type theorems to parabolic $k$ -Hessian equations of the form $- u_{t} σ_{k} (D^{2} u) = 1$ in $R^{n} \times (- \infty, 0]$ . We derive…

math.AP2019

A curvature flow approach to Lp-Christoffel-Minkowski problem for p>1

Li Chen, Qiang Tu, Ni Xiang

We study the motion of smooth, closed, strictly convex hypersurfaces in Rn+1 expanding in the direction of their normal vector field with speed depending on the k-th elementary sym…

math.AP2019★ 1 cited

A Liouville type theorem to $2$ -Hessian equations

Yan He, Haoyang Sheng, Ni Xiang

In this paper, we proved that any 2-convex solution $u$ of $σ_{2} (D^{2} u) = 1$ with a quadratic growth must be a quadratic polynomial in $R^{n} (n \geq 3)$ by using a Pogorelov e…

math.AP2019

A Rigidity theorem for parabolic 2-Hessian equations

Yan He, Cen Pan, Ni Xiang

In this paper, we consider the entire solutions to the parabolic $2$ -Hessian equations of the form $- u_{t} σ_{2} (D^{2} u) = 1$ in $R^{n} \times (- \infty, 0]$ . We prove some rigidity th…

A Pogorelov estimate and a Liouville type theorem to parabolic k-Hessian equations

A curvature flow approach to Lp-Christoffel-Minkowski problem for p>1

A Liouville type theorem to 2-Hessian equations

A Rigidity theorem for parabolic 2-Hessian equations

A Pogorelov estimate and a Liouville type theorem to parabolic $k$ -Hessian equations

A Liouville type theorem to $2$ -Hessian equations