Jianchun Chu

activity

20142023

C^{1, 1}

regularity of geodesics in the space of Kähler metrics

48 citations · 178 across the 30 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AP2017★ 5 cited

The $2$ -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 $2$ -nd Hessian type equation on a compact almost Hermitian manifold.

math.DG2017★ 28 cited

$C^{1, 1}$ regularity for degenerate complex Monge-Ampère equations and geodesic rays

Jianchun Chu, Valentino Tosatti, Ben Weinkove

We prove a $C^{1, 1}$ estimate for solutions of complex Monge-Ampère equations on compact Kähler manifolds with possibly nonempty boundary, in a degenerate cohomology class. This st…

math.AP2017★ 2 cited

Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds

Jianchun Chu, Bin Zhou

In this paper, we prove the $C^{1, 1}$ -regularity of the plurisubharmonic envelope of a $C^{1, 1}$ function on a compact Hermitian manifold. We also present examples to show this re…

The 2-nd Hessian type equation on almost Hermitian manifolds

C1,1 regularity for degenerate complex Monge-Ampère equations and geodesic rays

Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds

The $2$ -nd Hessian type equation on almost Hermitian manifolds

$C^{1, 1}$ regularity for degenerate complex Monge-Ampère equations and geodesic rays