A Topological Degree Counting for some Liouville Systems of Mean Field Equations

Chang-shou Lin, Lei Zhang

Let $A=(a_{ij}{)}_{n\times n}$ be an invertible matrix and $A^{-1}=(a^{ij}{)}_{n\times n}$ be the inverse of $A$. In this paper, we consider the generalized Liouville system: \label{ab…