中文

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

偏微分方程分析 2007-05-23 v1 数学物理 math.MP

摘要

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.

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引用

@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}
}