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Symmetry of local minimizers for the three-dimensional Ginzburg–Landau functional

Vincent MillotAdriano Pisante — 2010

Journal of the European Mathematical Society

We classify nonconstant entire local minimizers of the standard Ginzburg–Landau functional for maps in H loc 1 ( 3 ; 3 ) satisfying a natural energy bound. Up to translations and rotations,such solutions of the Ginzburg–Landau system are given by an explicit solution equivariant under the action of the orthogonal group.

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