Multi-Vortex Non-radial Solutions to the Magnetic Ginzburg-Landau Equations |
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| Authors: | F Ting J Wei |
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| Institution: | 1. Department of Mathematical Sciences, Lakehead University, Thunder Bay, ON, P7B 5E1, Canada
2. Department of Mathematics, Chinese University of Hong Kong, Shatin, N.T., Hong Kong
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| 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. |
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