3 papers
math.AP2026
Local Uniqueness and Non-degeneracy of Blow Up Solutions To A Chern-Simons System
Zetao Cheng, Haoyu Li, Lei Zhang
In this paper, we study blowup solutions of an important class of Chern-Simons systems. We first show that when blowup of mean-field type occurs, the corresponding blowup solution…
math.AP2025
Construction of blowup solutions for Liouville systems
Zetao Cheng, Haoyu Li, Lei Zhang
We study the following Liouville system defined on a flat torus \begin{equation} \left\{ \begin{array}{lr} -Îu_i=\sum_{j=1}^n a_{ij}Ï_j\Big(\frac{h_j e^{u_j}}{\int_Ωh_j e^{u_j}}…
math.AP2025
Local uniqueness and non-degeneracy of blowup solutions for regular Liouville systems
Zetao Cheng, Haoyu Li, Lei Zhang
We study the following Liouville system defined on a compact Riemann surface , \begin{equation} -Îu_i=\sum_{j=1}^n a_{ij}Ï_j\Big(\frac{h_j e^{u_j}}{\int_Ωh_j e^{u_j}}-1\Big)\…