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2005 , Vol. 25 >Issue 2: 117 - 120,129

DOI: https://doi.org/10.3969/j.issn.1000-1565.2005.02.001

Upper Estimates of Weighted Eigenvalues for the Vibration of Membranes

  • WANG Min ,
  • ZHAO Hong-liang ,
  • HAN Yan-bin
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Online published: 2005-01-25

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WANG Min , ZHAO Hong-liang , HAN Yan-bin . Upper Estimates of Weighted Eigenvalues for the Vibration of Membranes[J]. Journal of Hebei University(Natural Science Edition), 2005 , 25(2) : 117 -120,129 . DOI: 10.3969/j.issn.1000-1565.2005.02.001

References

[1] LI P, YAU S T. On the schrdinger equation and the eigenvalue problem [J]. Communications in Mathematical Physics 1983, 88.
[2] P(O)LYA G. On the eigenvalues of vibrating membranes [J]. Proceedings of the London Mathematical Society 1961, 11(03).
[3] KRǎ, GER P. Upper bounds for the Neumann eigenvalues on a bounded domain in Euclidean space [J]. Journal of Functional Analysis 1992, 106.
[4] KRǎ, GER P. Estimates for sums of eigenvalues of the Laplacian [J]. Journal of Functional Analysis 1994, 126.
[5] COURANT R, HILBERT D. Methods of mathematical physics Val.I [M]. New York: Interscience Publishers, INC 1962.
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