Solutions to a generalized Chern-Simons Higgs model on finite graphs by topological degree

Songbo Hou, Wenjie Qiao

Consider a finite connected graph denoted as $G=(V,E)$. This study explores a generalized Chern-Simons Higgs model, characterized by the equation: $$ Δu = λe^u (e^u - 1)^{2p+1} +…