Abstract
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. Copyright © 2012 Springer-Verlag Berlin Heidelberg.
| Original language | English |
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| Pages (from-to) | 69-97 |
| Journal | Communications in Mathematical Physics |
| Volume | 317 |
| Early online date | Nov 2012 |
| DOIs | |
| Publication status | Published - Jan 2013 |