41 citations · 56 across the 13 of their papers we have counts for
6 papers · 1 filter
The Cauchy-Dirichlet problem for parabolic deformed Hermitian-Yang-Mills equation
Liding Huang, Jiaogen Zhang
The purpose of this paper is to investigate the parabolic deformed Hermitian-Yang-Mills equation with hypercritical phase in a smooth domain . By using …
Fully non-linear parabolic equations on compact manifolds with a flat hyperkähler metric
Giovanni Gentili, Jiaogen Zhang
Our recent work about fully non-linear elliptic equations on compact manifolds with a flat hyperkähler metric is hereby extended to the parabolic setting. This approach will help u…
A new higher order Yang--Mills--Higgs flow in Riemannian -manifold
Hemanth Saratchandran, Jiaogen Zhang, Pan Zhang
Let be a closed Riemannian -manifold and let be a vector bundle over with structure group , where is a compact Lie group. In this paper, we consider a new…
Fully nonlinear elliptic equations on compact manifolds with a flat hyperKähler metric
Giovanni Gentili, Jiaogen Zhang
Mainly motivated by a conjecture of Alesker and Verbitsky, we study a class of fully non-linear elliptic equations on certain compact hyperhermitian manifolds. By adapting the appr…
Monge-Ampère type equations on almost Hermitian manifolds
Jiaogen Zhang
In this paper, we consider the Monge-Ampère type equations on compact almost Hermitian manifolds. We derive a priori estimates under the existence of an admissible $\m…
The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds
Liding Huang, Jiaogen Zhang, Xi Zhang
In this paper, we consider the deformed Hermitian-Yang-Mills equation on closed almost Hermitian manifolds. In the case of hypercritical phase, we derive a priori estimates under t…