Symmetric Chern-simons-higgs Vortices

Abstract

We prove the existence of radially symmetric vortices of the static nonselfdual Chern-Simons-Higgs equations with and without magnetic field in dimension 2. The vortex profiles are shown to be monotonically increasing and bounded. For a given vorticity n, when there is no magnetic field we prove that the n-vortices are stable for n = 0,±1. 

Cite this paper

@inproceedings{Chen2008SymmetricCV, title={Symmetric Chern-simons-higgs Vortices}, author={Robin Ming Chen and Daniel Spirn}, year={2008} }