Bubbling solutions for the Chern-Simons gauged $O(3)$ sigma model in $\mathbb{R}^2$

Abstract

In this paper, we construct multivortex solutions of the elliptic governing equationfor the self-dual Chern-Simons gauged $O(3)$ sigma model in $\mathbb{R}^2$when the Chern-Simons coupling parameter is sufficiently small, and thelocation of singular points satisfy suitable conditions.Our solutions show concentration phenomena at some points of the singular pointsas the coupling parameter tends to zero, and they are locally asymptotically radialnear each blow-up point.