We classify nonconstant entire local minimizers of the standard Ginzburg–Landau functional for maps in H1 loc.(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.
Symmetry of local minimizers for the Ginzburg-Landau functional in 3D / Millot, V; Pisante, Adriano. - In: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. - ISSN 1435-9855. - 12:(2010), pp. 1069-1096. [10.4171/JEMS/223]
Symmetry of local minimizers for the Ginzburg-Landau functional in 3D.
PISANTE, Adriano
2010
Abstract
We classify nonconstant entire local minimizers of the standard Ginzburg–Landau functional for maps in H1 loc.(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.File allegati a questo prodotto
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