Global minimizers for a p-Ginzburg-Landau-type energy in R2

被引：15

作者：

Almog, Yaniv ^{[2
]}

Berlyand, Leonid ^{[3
]}

Golovaty, Dmitry ^{[4
]}

Shafrir, Itai ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[3] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[4] Univ Akron, Dept Theoret & Appl Math, Akron, OH 44325 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 256卷 / 07期

关键词：

p-Ginzburg-Landau energy; Global minimizer; PRESCRIBED DEGREES; DOMAIN;

D O I：

10.1016/j.jfa.2008.09.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a p > 2, we prove existence of global minimizers for a p-Ginzburg-Landau-type energy over maps on R-2 with degree d = 1 at infinity. For the analogous problem on the half-plane we prove existence of a global minimizer when p is close to 2. The key ingredient of our proof is the degree reduction argument that allows us to construct a map of degree d = 1 from an arbitrary map of degree d > I without increasing the p-Ginzburg-Landau energy. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：2268 / 2290

页数：23

共 12 条

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[Anonymous], 1966, GRUNDLEHREN MATH WIS

[2]

[Anonymous], 1998, PARTIAL DIFFERENTIAL

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