Multiplicity for Self-Dual Condensate Solutions in the Maxwell-Chern-Simons O(3) Sigma Model
Journal
Communications in Partial Differential Equations
Journal Volume
39
Journal Issue
8
Pages
1424-1450
Date Issued
2014
Author(s)
Han, J.
Abstract
In this paper, we study multiple existence of solutions of an elliptic system on a flat torus arising from the self-dual Maxwell-Chern-Simons O(3) sigma model. Using the Leray-Schauder degree, we find an explicit range of κ and q for which we have at least two vortex-antivortex solutions. For vortex solutions, we provide a complete picture of the range of κ and q for multiple existence of solutions. © 2014 Copyright Taylor & Francis Group, LLC.
Type
journal article