Geodesic
Symmetry of local minimizers for the three-dimensional Ginzburg–Landau functional
Journal of the European Mathematical Society, Tome 12 (2010) no. 5, pp. 1069-1096 Cet article a éte moissonné depuis la source EMS Press

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We classify nonconstant entire local minimizers of the standard Ginzburg–Landau functional for maps in Hloc1​(R3;R3) 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.
DOI : 10.4171/jems/223
Classification : 35-XX, 00-XX
Keywords: Ginzburg–Landau equation, harmonic maps, local minimizers 
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     author = {Vincent Millot and Adriano Pisante},
     title = {Symmetry of local minimizers for the three-dimensional {Ginzburg{\textendash}Landau} functional},
     journal = {Journal of the European Mathematical Society},
     pages = {1069--1096},
     year = {2010},
     volume = {12},
     number = {5},
     doi = {10.4171/jems/223},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/223/}
}
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Vincent Millot; Adriano Pisante. Symmetry of local minimizers for the three-dimensional Ginzburg–Landau functional. Journal of the European Mathematical Society, Tome 12 (2010) no. 5, pp. 1069-1096. doi: 10.4171/jems/223

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