On a nonlinear elliptic system from Maxwell-Chern-Simons vortex theory

2002/07/30 by Tonia Ricciardi, Ricciardi, Tonia
Computer Science · Mathematics · Physics and Astronomy · #35J60 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.AP #math.MP #msc:35J60

paper · pdf · doi:10.48550/arxiv.math/0207288

arxiv created 2002/07/30 · openalex publication_date 2002/07/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define an abstract nonlinear elliptic system, admitting a variational structure, and including the vortex equations for some Maxwell-Chern-Simons gauge theories as special cases. We analyze the asymptotic behavior of its solutions, and we provide a general simplified framework for the asymptotics previously derived in those special cases. As a byproduct of our abstract formulation, we also find some new qualitative properties of solutions.

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