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20162022
most citedCurvature estimates for a class of Hessian type equations

6 citations · 28 across the 10 of their papers we have counts for

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6 papers · 1 filter

math.AP20223 cited

Monotonicity of the -Green functions

Pak-Yeung Chan, Jianchun Chu, Man-Chun Lee +1

On a complete -nonparabolic -dimensional manifold with non-negative scalar curvature and vanishing second homology, we establish a sharp monotonicity formula for the proper $…

math.AP2021

Fully non-linear elliptic equations on compact almost Hermitian manifolds

Jianchun Chu, Liding Huang, Jiaogen Zhang

In this paper, we establish a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the…

math.AP20206 cited

Curvature estimates for a class of Hessian type equations

Jianchun Chu, Heming Jiao

In this paper, we establish the curvature estimates for a class of Hessian type equations. Some applications are also discussed.

math.AP2020

A simple proof of curvature estimate for convex solution of -Hessian equation

Jianchun Chu

Guan-Ren-Wang established the curvature estimate of convex hypersurface satisfying the Weingarten curvature equation . In this note, we give a simple proof…

math.AP20175 cited

The -nd Hessian type equation on almost Hermitian manifolds

Jianchun Chu, Liding Huang, Xiaohua Zhu

In this paper, we derive the second order estimate to the -nd Hessian type equation on a compact almost Hermitian manifold.

math.AP20166 cited

The parabolic Monge-Ampère equation on compact almost Hermitian manifolds

Jianchun Chu

We prove the long time existence and uniqueness of solutions to the parabolic Monge-Ampère equation on compact almost Hermitian manifolds. We also show that the normalization of so…