Symmetry of local minimizers for the three-dimensional Ginzburg–Landau functional
Vincent Millot
Université Denis Diderot - Paris 7, FranceAdriano Pisante
Università di Roma La Sapienza, Italy

Abstract
We classify nonconstant entire local minimizers of the standard Ginzburg–Landau functional for maps in _H_1loc (ℝR;ℝ3) satisfying a natural energy bound. Up to translations and rotations, such solutions of the Ginzburg–Land system are given by an explicit solution equivariant under the action of the orthogonal group.
Cite this article
Vincent Millot, Adriano Pisante, Symmetry of local minimizers for the three-dimensional Ginzburg–Landau functional. J. Eur. Math. Soc. 12 (2010), no. 5, pp. 1069–1096
DOI 10.4171/JEMS/223