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

Article type: Research Article

Authors: Ricciardi, Tonia

Affiliations: Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, 80126 Naples, Italy E‐mail: [email protected]

Note: [] Partially supported by PRIN “Variational Methods and Nonlinear Differential Equations”.

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.

Keywords: nonlinear elliptic system, Chern–Simons vortex theory

Journal: Asymptotic Analysis, vol. 35, no. 2, pp. 113-126, 2003