Asymptotic analysis of solutions to a gauged O(3) sigma model
Analysis of PDEs
2013-03-19 v1
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 , 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.
Keywords
Cite
@article{arxiv.1303.4216,
title = {Asymptotic analysis of solutions to a gauged O(3) sigma model},
author = {Daniele Bartolucci and Youngae Lee and Chang-Shou Lin and Michiaki Onodera},
journal= {arXiv preprint arXiv:1303.4216},
year = {2013}
}