Differential and Integral Equations

Multiplicity for a nonlinear fourth-order elliptic equation in Maxwell-Chern-Simons vortex theory

Tonia Ricciardi

Abstract

We prove the existence of at least two solutions for a fourth-order equation, which includes the vortex equations for the $U(1)$ and $CP(1)$ self-dual Maxwell-Chern-Simons models as special cases. Our method is variational, and it relies on an asymptotic maximum principle" property for a special class of supersolutions to this fourth-order equation.

Article information

Source
Differential Integral Equations Volume 17, Number 3-4 (2004), 369-390.

Dates
First available in Project Euclid: 21 December 2012