16 citations · 59 across the 23 of their papers we have counts for
4 papers · 1 filter
A rigid theorem for deformed Hermitian-Yang-Mills equation
Xiaoli Han, Xishen Jin
In this paper, we study the deformed Hermitian-Yang-Mills equation on compact Kähler manifold with non-negative orthogonal bisectional curvature. We prove that the curvatures of de…
Existence and convergence of solutions for nonlinear biharmonic equations on graphs
Xiaoli Han, Mengqiu Shao, Liang Zhao
In this paper, we first prove some propositions of Sobolev spaces defined on a locally finite graph , which are fundamental when dealing with equations on graphs under the…
An -regularity theorem for line bundle mean curvature flow
Xiaoli Han, Hikaru Yamamoto
In this paper, we study the line bundle mean curvature flow defined by Jacob and Yau. The line bundle mean curvature flow is a kind of parabolic flows to obtain deformed Hermitian…
Global existence of the harmonic map heat flow into Lorentzian manifolds
Xiaoli Han, Juergen Jost, Lei Liu +1
We investigate a parabolic-elliptic system for maps from a compact Riemann surface into a Lorentzian manifold with a warped product metric. That s…