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

• Autores: Vincent Millot, Adriano Pisante
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 12, Nº 5, 2010, págs. 1069-1096
• Idioma: inglés
• DOI: 10.4171/jems/223
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• Resumen

  • We classify nonconstant entire local minimizers of the standard Ginzburg�Landau functional for maps in H1loc (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.