In this paper, we study a system of elliptic equations in R2 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.
ASJC Scopus subject areas
- 物理與天文學 (全部)