We show that there exists multi-vortex, non-radial, finite energy solutions to the magnetic Ginzburg-Landau equations on all of ℝ2. We use Lyapunov-Schmidt reduction to construct solutions which are invariant under rotations by 2π/k (but not by rotations in O(2) in general) and reflections in the x- axis for some k ≥ 7.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics