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

Francesco Chiacchio; Tonia Ricciardi

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

Francesco Chiacchio·Tonia Ricciardi

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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.

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BibTeX RIS

Francesco Chiacchio, Tonia Ricciardi. 2003-10-06. Multiple vortices for a self-dual CP(1) Maxwell-Chern-Simons model. https://arxiv.org/abs/math/0310071

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