| 一类非线性泛函最小元的必要条件 |
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| 引用本文： | 杨丹瑜. 一类非线性泛函最小元的必要条件[J]. 苏州大学学报(医学版), 2006, 22(3): 12-19 |
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| 作者姓名： | 杨丹瑜 |
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| 作者单位： | 苏州大学数学科学学院 江苏苏州215006 |
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| 摘 要： | 研究了一类非线性泛函最小元.这类泛函是一维含杂质超导模型的Ginzburg-Landau泛函当Ginzburg-Landau参数趋于无穷时的极限.这个泛函在不同的参数条件下具有多个临界点,我们给出了判断这类泛函临界点是最小元的必要条件.
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| 关 键 词： | Ginzburg-Landau超导模型 对称解 最小元 |
| 文章编号： | 1000-2073(2006)03-0012-08 |
| 收稿时间： | 2006-01-05 |
| 修稿时间： | 2006-01-05 |
The necessary conditions for minimizers of a kind of nonlinear functions |
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| YANG Dan-yu. The necessary conditions for minimizers of a kind of nonlinear functions[J]. Journal of Suzhou University(Natural Science), 2006, 22(3): 12-19 |
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| Authors: | YANG Dan-yu |
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| Affiliation: | School of Mathematic Science, Suzhou University, Suzhou 215006, China |
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| Abstract: | This paper is devoted to the study for the minimizers of a kind of nonlinear functions.This kind of functions is the limit of one-dimensional Ginzburg-Landau model of superconductivity with normal impurity inclusion as the Ginzburg-Landau parameter tends to infinity.The functions have more than one critical points according to various conditions of related parameters.We obtain the necessary conditions for the minimizer of the functions. |
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| Keywords: | Ginzburg-Landau model of superconductivity symmetric solution minimizer |
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