English

Multiple vortices for a self-dual CP(1) Maxwell-Chern-Simons model

Analysis of PDEs 2007-05-23 v1 Mathematical Physics math.MP

Abstract

We prove the existence of at least two doubly periodic vortex solutions for a self-dual CP(1) Maxwell-Chern-Simons model. To this end we analyze a system of two elliptic equations with exponential nonlinearities. Such a system is shown to be equivalent to a fourth-order elliptic equation admitting a variational structure.

Keywords

Cite

@article{arxiv.math/0310071,
  title  = {Multiple vortices for a self-dual CP(1) Maxwell-Chern-Simons model},
  author = {Francesco Chiacchio and Tonia Ricciardi},
  journal= {arXiv preprint arXiv:math/0310071},
  year   = {2007}
}