Existence of radial solutions in the Chern–Simons–Higgs model with its N=2 SUSY extension

Abstract

Abstract In this paper, we study a system of elliptic equations in R 2 which arises from the abelian Chern–Simons–Higgs theory and its N = 2 SUSY extension. This system is expected to have three types of solutions: topological solutions, mixed type solutions and non-topological solutions. We establish the existence of the radial solutions of these three types.