| 含Hardy位势的椭圆型方程特征值问题 |
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| 引用本文： | 谢朝东,陈志辉. 含Hardy位势的椭圆型方程特征值问题[J]. 贵州科学, 2011, 29(3): 24-27 |
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| 作者姓名： | 谢朝东 陈志辉 |
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| 作者单位： | 1. 贵州民族学院商学院,贵州,550025
2. 华南理工大学数学科学学院,广州,510640 |
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| 摘 要： | 考虑含Hardy位势:1/|x|2,N≥3；1/(|x|lnR/|x|)2,N=2,的椭圆型偏微分方程的特征值问题.在空间H01(Ω)中该问题解的存在性已有文献给出了一个(近乎)充分必要条件,但我们在一个新空间中证明了它的可解性.
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| 关 键 词： | 特征值问题 Hardy位势 |
Eigenvalue Problems of Elliptic PDEs with Hardy Potential |
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| XIE Chao-dong,CHEN Zhi-hui. Eigenvalue Problems of Elliptic PDEs with Hardy Potential[J]. Guizhou Science, 2011, 29(3): 24-27 |
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| Authors: | XIE Chao-dong CHEN Zhi-hui |
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| Affiliation: | 1School of Business,Guizhou College for Nationalities,Guiyang,Guizhou 550025,China;2School of Mathematical Sciences,South China University of Technology,Guangzhou,Guangdong 510640,China) |
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| Abstract: | Eigenvallue problems of elliptic partial differential equations with Hardy potential are considered:1/|x|2,N≥3;1/(|x|lnR/|x|)2,N=2.It shows that necessary conditions are given to the solution of these problems in H10(Ω).A solution has been proved in a new space. |
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| Keywords: | eigenvalue problem Hardy potential |
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