Multiple Solutions for the Non-Abelian Chern--Simons--Higgs Vortex Equations

Xiaosen Han, Gabriella Tarantello

In this paper we study the existence of multiple solutions for the non-Abelian Chern--Simons--Higgs $(N\times N)$-system: \[ Δu_i=λ\left(\sum_{j=1}^N\sum_{k=1}^N K_{kj}K_{ji}\re^{u…