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

被引：19
|
作者：
Millot, Vincent [1 ]
Pisante, Adriano [2 ]
机构：
[1] Univ Paris Diderot Paris 7, CNRS, UMR Lab Jacques Louis Lions 7598, F-75005 Paris, France
[2] Univ Roma La Sapienza, Dept Math, I-00185 Rome, Italy
来源：
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2010年 / 12卷 / 05期
基金：
美国国家科学基金会;
关键词：
Ginzburg-Landau equation; harmonic maps; local minimizers; QUASI-HARMONIC SPHERES; RADIAL SOLUTIONS; EQUATION; MAPS; CONVERGENCE; ASYMPTOTICS; DIMENSIONS;
D O I：
10.4171/JEMS/223
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We classify nonconstant entire local minimizers of the standard Ginzburg-Landau functional for maps in H(loc)(1) (R(3); R(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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页码：1069 / 1096
页数：28
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