Communications in Mathematical Physics

, Volume 317, Issue 1, pp 69–97

Multi-Vortex Non-radial Solutions to the Magnetic Ginzburg-Landau Equations

Article

DOI: 10.1007/s00220-012-1612-y

Cite this article as:
Ting, F. & Wei, J. Commun. Math. Phys. (2013) 317: 69. doi:10.1007/s00220-012-1612-y

Abstract

We show that there exists multi-vortex, non-radial, finite energy solutions to the magnetic Ginzburg-Landau equations on all of \({\mathbb{R}^2}\) . We use Lyapunov-Schmidt reduction to construct solutions which are invariant under rotations by \({\frac{2 \pi}{k}}\) (but not by rotations in O(2) in general) and reflections in the x− axis for some k ≥ 7.

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Mathematical SciencesLakehead UniversityThunder BayCanada
  2. 2.Department of MathematicsChinese University of Hong KongShatinHong Kong