|
|||||
|
|
| 环域上p-Ginzburg-Landau泛函的径向极小元 | |
| 引用本文： | 蔡宇泽,雷雨田.环域上p-Ginzburg-Landau泛函的径向极小元[J].吉林大学学报(理学版),2009,47(4):683-690. |
| 作者姓名： | 蔡宇泽 雷雨田 |
| 作者单位： | 1. 沙洲职业工学院 基础科学系, 江苏 张家港 215600,2. 南京师范大学 数学系, 南京 210097 |
| 基金项目： | 江苏省高校自然科学基金 |
| 摘 要： | 研究一类环域上p-Ginzburg-Landau泛函的径向极小元uε当ε→ 0时的极限行为. 讨论了uε的零点分布, 运用局部分析技巧证明了 零点分布在环域的边界附近. 利用迭代方法, 建立了能量的局部一致估计, 并在此基础上, 证明了极小元在W 1,p意义下局部收敛于p-调和映射x|x|-1. |
| 关 键 词： | 渐近性态 p-调和映射 零点分布 环域 径向极小元 |
| 收稿时间： | 2008-09-09 |
Radial Minimizer of p-Ginzburg-Landau Function in Annular Domain |
|
| CAI Yu-ze,LEI Yu-tian.Radial Minimizer of p-Ginzburg-Landau Function in Annular Domain[J].Journal of Jilin University: Sci Ed,2009,47(4):683-690. | |
| Authors: | CAI Yu-ze LEI Yu-tian |
| Institution: | 1. Department of Basic Science, Shazhou Professional Institute of Technology, Zhangjiagang 215600,Jiangsu Province, China|2. Department of Mathematics, Nanjing Normal University, Nanjing 210097, China |
| Abstract: | The authors studied the asymptotic behavior of the radial minimizers uε of a p-Ginzburg-Landau functional in an annular doma in. At first, that the zeros of uεare located qualitatively near the boundary of the annular domain was proved by the local analysis. In addition, the uniform estimate of the energy was established by iteration. Based on this result, the W1,p convergence of minimizers as ε→ 0 was proved also. |
| Keywords: | asymptotic behavior p-harmonic map location of zeros annular domain radial minimizer |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 | |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 | |