Critical points of a non-linear functional related to the one-dimensional Ginzburg-Landau model of a superconducting-normal-superconducting junction

被引：0
作者：
Yu Wanghui [1 ]
Yao Fengping [2 ]
Yang Danyu [3 ]
机构：
[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
[2] Peking Univ, Dept Math, Beijing 100871, Peoples R China
[3] Suzhou Foreign Language Sch, Suzhou 215011, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 07期
基金：
中国国家自然科学基金;
关键词：
critical points; superconductivity; S-N-S junction;
D O I：
10.1016/j.na.2007.01.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A non-linear functional is studied, which is the limit of the one-dimensional Ginzburg-Landau model of a superconducting normal-superconducting junction as the Ginzburg-Landau parameter tends to infinity. it is found that the functional may have one, two or three critical points according to various conditions of related parameters and the exact number of the critical points is obtained in each case. Moreover, the necessary and sufficient conditions for minimizers are also established. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：2038 / 2057
页数：20
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