34 citations · 123 across the 37 of their papers we have counts for
4 papers · 1 filter
Some interior regularity estimates for solutions of complex Monge-Ampère equations on a ball
Chao Li, Jiayu Li, Xi Zhang
In this paper, we consider the Dirichlet problem of a complex Monge-Ampère equation on a ball in . With (resp. ) data, we prove an…
The limiting behaviour of Hermitian-Yang-Mills flow over compact non-Kähler manifolds
Yanci Nie, Xi Zhang
In this paper, we analyze the asymptotic behaviour of the Hermitian-Yang-Mills flow over a compact non-Kähler manifold with the Hermitian metric satisfying the Gauducho…
A Liouville theorem on complete non-Kähler manifolds
Yuang Li, Chuanjing Zhang, Xi Zhang
In this paper, we prove a Liouville theorem for holomorphic functions on a class of complete Gauduchon manifolds. This generalizes a result of Yau for complete Kähler manifolds to…
Higgs bundles over non-compact Gauduchon manifolds
Chuanjing Zhang, Pan Zhang, Xi Zhang
In this paper, we prove a generalized Donaldson-Uhlenbeck-Yau theorem on Higgs bundles over a class of non-compact Gauduchon manifolds.