| 四阶一致椭圆型算子第二特征值的上界估计 |
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| 引用本文： | 钱椿林,张晶,蔡保康. 四阶一致椭圆型算子第二特征值的上界估计[J]. 中国科学技术大学学报, 2007, 37(11): 1373-1377 |
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| 作者姓名： | 钱椿林 张晶 蔡保康 |
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| 作者单位： | 苏州市职业大学远程教育学院,江苏苏州,215004 |
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| 基金项目： | Supported by the SZDF(No.SZD06L28). |
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| 摘 要： | 研究了四阶一致椭圆型算子第二特征值的上界估计.利用试验函数、Rayleigh定理、分部积分、Schwartz不等式和Young不等式等估计方法与技巧,获得了用第一特征值来估计第二特征值的上界的不等式,上界与区域的几何度量无关.
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| 关 键 词： | 四阶一致椭圆型算子 特征值 特征函数 上界 |
| 文章编号： | 0253-2778（2007）11-1373-05 |
| 收稿时间： | 2006-09-25 |
| 修稿时间： | 2007-02-24 |
Estimate of the upper bound of second eigenvaluefor uniformly elliptic operator with four orders |
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| QIAN Chun-lin,ZHANG Jing,CAI Bao-kang. Estimate of the upper bound of second eigenvaluefor uniformly elliptic operator with four orders[J]. Journal of University of Science and Technology of China, 2007, 37(11): 1373-1377 |
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| Authors: | QIAN Chun-lin ZHANG Jing CAI Bao-kang |
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| Abstract: | The estimate of the upper bound of the second eigenvalue for the uniformly elliptic operator with four orders was studied.By means of integral,Rayleigh theorem and inequalities,it was obtained that the upper bounds of the second eigenvalue are dependent on the first eigenvalue but not the measure of the domain in which the problem is concerned. |
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| Keywords: | uniformly elliptic operator with four orders eigenvalue eigenfunction upper bound |
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