A symptotic analysis of solutions to a gauged $O(3)$ sigma model
Dr. Youngae LeeNational Taiwan University 下午 2:30–4:00 Tòa nhà Hồng Kinh 107 室摘要：
In this talk, we analyze an elliptic equation arising in the study of the gauged $O(3)$ sigma model with the Chern-Simons term.We study the asymptotic behavior of solutions and apply it to prove the uniqueness of stable solutions.
However, one of the features of this nonlinear equation is the existence of stable nontopological solutions in $\mathbb{R}^2$, which implies the possibility that a stable solution which blows up at a vortex point exists.To exclude this kind of blow up behavior is one of the main difficulties which we have to overcome.