Yulun Xu

collaborators

3 papers

math.DG2025

The uniqueness of Poincaré type extremal Kähler metric

Yulun Xu

Let $D$ be a smooth divisor on a closed Kähler manifold $X$ . Suppose that $A u t_{0} (D) = {I d}$ . We prove that the Poincaré type extremal Kähler metric with a cusp singularity at $D$ i…

math.AP2025

Viscosity solution to complex Hessian quotient equations

Jingrui Cheng, Yulun Xu

In this paper, we prove the existence of viscosity solutions to complex Hessian equations on compact Hermitian manifolds, assuming the existence of a strict subsolution in the visc…

math.CO2019

The k-Power Domination Number in Some Self-Similar Graphs

Yulun Xu, Qi Bao, Zhongzhi Zhang

The $k$ -power domination problem is a problem in graph theory, which has applications in many areas. However, it is hard to calculate the exact $k$ -power domination number since de…