| 带有临界Sobolev指数的奇异双调和问题 |
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| 引用本文： | 胡丽平,周世国.带有临界Sobolev指数的奇异双调和问题[J].数学季刊,2007,22(3):395-401. |
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| 作者姓名： | 胡丽平 周世国 |
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| 作者单位： | College of Information and Management Henan Agriculture University，Department of Mathematics Zhengzhou University Zhengzhou 450002，China，Zhengzhou 450052，China |
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| 摘 要： | LetΩR~N be a smooth bounded domain such that 0∈Ω,N≥5,2~*:=(2N)/(N-4) is the critical Sobolev exponent,and f(x) is a given function.By using the variational methods, the paper proves the existence of solutions for the singular critical in the homogeneous problemΔ~u-μu/(|x|~4)=|u|~(2~*-2)u f(x) with Dirichlet boundary condition on Ωunder some assumptions on f(x) andμ.
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| 关 键 词： | 双调和方程 变分法 临界Sobolev指数 奇异双调和问题 |
| 文章编号： | 1002-0462（2007）03-0395-07 |
| 收稿时间： | 2007-01-12 |
| 修稿时间： | 2007年1月12日 |
On the Singular Biharmonic Problems Involving Critical Sobolev Exponents |
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| HU Li-ping,ZHOU Shi-guo.On the Singular Biharmonic Problems Involving Critical Sobolev Exponents[J].Chinese Quarterly Journal of Mathematics,2007,22(3):395-401. |
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| Authors: | HU Li-ping ZHOU Shi-guo |
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| Abstract: | |
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| Keywords: | biharmonic equation critical Sobolev exponents compactness variational methods |
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