| 一类加权Sobolev空间中重调和算子的特征值估计 |
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| 引用本文： | 邓昊,陈祖墀.一类加权Sobolev空间中重调和算子的特征值估计[J].中国科学技术大学学报,2003,33(2):134-143. |
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| 作者姓名： | 邓昊 陈祖墀 |
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| 作者单位： | 中国科学技术大学数学系,合肥,230026 |
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| 基金项目： | ProjectsupportedbyNNSFC (10 0 710 80 )andNNSFCforYoungScholars (No .10 10 10 2 4 ) |
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| 摘 要： | 论文讨论了加权Sobolev空间Wo^1,p(Ω,w(x))中重调和方程△^2u—μw(x)u＝0，u|αΩ＝0的特征值估计，其中Ω真包含于R^m是边界光滑的有界区域，w(x)∈L^∞有界。m≥2的情况，对μi,i=1,…，n做出了逐步加细的三个估计。
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| 关 键 词： | 加权Sobolev空间 重调和算子 特征值估计 重调和方程 有界区域 |
Inequalities for Eigenvalues of Biharmonic Operator in Weighted Sobolev Space |
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| DENG Hao,CHEN Zu-chi.Inequalities for Eigenvalues of Biharmonic Operator in Weighted Sobolev Space[J].Journal of University of Science and Technology of China,2003,33(2):134-143. |
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| Authors: | DENG Hao CHEN Zu-chi |
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| Abstract: | This paper considers the eigenvalue problem for the biharmonic equation △2 u -μ w ( x ) u = 0 in weighted Sobolev space W1,p0 (Ω, w (x) ), u= 0 on Ω, whereΩ Rm isa bounded smooth domain, w (x) ∈ L∞ (Ω) is also bounded. For m ≥ 2, three estimates of the eigenvaluesμi, I = 1,… ,n are obtained. |
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| Keywords: | weighted Sobolev space eigenvalue estimate biharmonic |
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