Y. He

activity

20102026

most citedPrime number theorems for Basmajian-type identities

2 citations · 7 across the 15 of their papers we have counts for

collaborators

Showing math.APShow all

4 papers · 1 filter

math.AP2020★ 1 cited

Fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature

Li Chen, Yan He

In this paper, we consider fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature which naturally arise in conformal geometry. Moreover, we prove…

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…

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…

Fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature

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

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