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

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

2003-10-06

arxiv.org/abs/math/0310071v1

Mathematics

Analysis of PDEs

Scientific paper

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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