Asymptotic analysis of solutions to a gauged O (3) sigma model
Journal
Annales de l'Institut Henri Poincare. Annales
Journal Volume
32
Journal Issue
3
Pages
651-685
Date Issued
2015
Author(s)
Abstract
Abstract We analyze an elliptic equation arising in the study of the gauged O(3) sigma model with the Chern-Simons term. In this paper, 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 R2, 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.
Type
journal article