Bubbling Solutions for the SU(3) Chern-Simons Model on a Torus
Journal
Communications on Pure and Applied Mathematics
Journal Volume
66
Journal Issue
7
Pages
991-1027
Date Issued
2013
Author(s)
Yan, S.
Abstract
We consider the following nonlinear system derived from the SU(3) Chern-Simons models on a torus Ω: where denotes the Dirac measure at. When, if we look for a solution with, then (0.1) is reduced to the Chern-Simons-Higgs equation: The existence of bubbling solutions to (0.1) has been a longstanding problem. In this paper, we prove the existence of such solutions such that even if. © 2012 Wiley Periodicals, Inc.
Type
journal article