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.

引用

页码：1069 / 1096

页数：28

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