On a nonlinear elliptic system from Maxwell-Chern-Simons vortex theory
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We define an abstract nonlinear elliptic system, admitting a variational structure, and including the vortex equations for some Maxwell-Chern-Simons gauge theories as special cases. We analyze the asymptotic behavior of its solutions, and we provide a general simplified framework for the asymptotics previously derived in those special cases. As a byproduct of our abstract formulation, we also find some new qualitative properties of solutions.
Cite
@article{arxiv.math/0207288,
title = {On a nonlinear elliptic system from Maxwell-Chern-Simons vortex theory},
author = {Tonia Ricciardi},
journal= {arXiv preprint arXiv:math/0207288},
year = {2007}
}