Uniqueness of non-topological solutions for the Chern-Simons system with two Higgs particles
Hsin‐Yuan Huang, Chang‐Shou Lin · Kodai Mathematical Journal · 2014
We study the non-topological radial solutions of the Abelian Chern-Simons equation with two Higgs particles. We establish the non-degeneracy property of linearized equation and the uniqueness property for the corresponding non-topological radial solutions.