Hao Sheng

most citedA Liouville type theorem to

2

-Hessian equations

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

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★ 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…

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

A Liouville type theorem to 2-Hessian equations

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

A Liouville type theorem to $2$ -Hessian equations