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

2003/10/06 by Francesco Chiacchio, Chiacchio, Francesco, Tonia Ricciardi +1
Mathematics · Physics and Astronomy · #35J60 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #math-ph #math.AP #math.MP #msc:35J60

paper · pdf · doi:10.48550/arxiv.math/0310071

arxiv created 2003/10/06 · openalex publication_date 2003/10/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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