Lei Zhang

collaborators

2 papers

math.AP2021

On Liouville systems at critical parameters, Part 2: Multiple bubbles

Hsin-yuan Huang, Lei Zhang

In this paper, we continue to consider the generalized Liouville system: $$ Δ_g u_i+\sum_{j=1}^n a_{ij}ρ_j\left(\frac{h_j e^{u_j}}{\int h_j e^{u_j}}- {1} \right)=0\quad\text{in \,}…

math.AP2015

The domain geometry and the bubbling phenomenon of rank two Gauge theory

Hsin-Yuan Huang, Lei Zhang

Let $Ω$ be a flat torus and $G$ be the green's function of $- Δ$ on $Ω$ . One intriguing mystery of $G$ is how the number of its critical points is related to blowup solutions of cer…