Existence and asymptotic behaviors of solutions to Chern-Simons systems and equations on finite graphs

Songbo Hou, Xiaoqing Kong

In this paper, we consider a system of equations arising from the $\text{U}(1)\times \text{U}(1)$ Abelian Chern-Simons model \begin{eqnarray*}\left\{\begin{aligned} Δu &=λ\left(a(b…