Classification and nondegeneracy of $SU(n+1)$ Toda system with singular sources

Chang-Shou Lin, Dong Ye, Juncheng Wei

We consider the following Toda system Δu_i + \D \sum_{j = 1}^n a_{ij}e^{u_j} = 4πγ_{i}δ_{0} \text{in}\mathbb R^2, \int_{\mathbb R^2}e^{u_i} dx < \infty, \forall 1\leq i \leq n, whe…