| 双曲空间上有关拉普拉斯二次多项式的特征值估计 |
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| 引用本文： | 马冰清,侯学萍.双曲空间上有关拉普拉斯二次多项式的特征值估计[J].河南师范大学学报(自然科学版),2013,41(3):26-28. |
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| 作者姓名： | 马冰清 侯学萍 |
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| 作者单位： | 河南师范大学数学与信息科学学院,河南新乡,453007 |
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| 摘 要： | 考虑双曲空间有界区域上的有关拉普拉斯二次多项式的特征值估计.利用Rayleigh-Ritz公式,得到了用前k个特征值估计第k+1个特征值的特征值万有估计.
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| 关 键 词： | 特征值 双曲空间 ClampedPlate问题 |
Estimates on Eigenvalues for Quadratic Polynomial Operator of the Laplacian on a Hyperbolic Space |
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| MA Bingqing
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HOU Xueping.Estimates on Eigenvalues for Quadratic Polynomial Operator of the Laplacian on a Hyperbolic Space[J].Journal of Henan Normal University(Natural Science),2013,41(3):26-28. |
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| Authors: | MA Bingqing HOU Xueping |
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| Institution: | (College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China) |
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| Abstract: | Eigenvalues of quadratic polynomial operator of the Laplacian on a bounded domain in a hyperbolic space are studied.Applying the the Rayleigh-Ritz principle,we obtain estimates on the(k+1)th eigenvalue in terms of the first kth eigenvalue independent of the domains. |
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| Keywords: | eigenvalue hyperbolic space clamped plate problem |
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