48 citations · 178 across the 30 of their papers we have counts for
11 papers · 1 filter
Liouville theorem for a class of Hessian equations
Jianchun Chu, Sławomir Dinew
In this paper, we study a general class of Hessian elliptic equations, including the Monge-Ampère equation, the -Hessian equation and -Monge-Ampère equations. We propose new…
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 $…
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…
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.
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…
regularity of degenerate complex Monge-Ampère equations and some applications
Jianchun Chu
In this paper, we prove a estimate for solutions of complex Monge-Ampère equations on compact almost Hermitian manifolds. Using this estimate, we show existence…
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.
Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds
Jianchun Chu, Bin Zhou
In this paper, we prove the -regularity of the plurisubharmonic envelope of a function on a compact Hermitian manifold. We also present examples to show this re…
Quantitative stratification of -subharmonic functions
Jianchun Chu
In this paper, we study the singular sets of -subharmonic functions , where is a subequation. The singular set $\mathcal{S}(u)\subset B…
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…
The Monge-Ampère equation for non-integrable almost complex structures
Jianchun Chu, Valentino Tosatti, Ben Weinkove
We show existence and uniqueness of solutions to the Monge-Ampere equation on compact almost complex manifolds with non-integrable almost complex structure.