Kodai Mathematical Journal

Estimates of eigenvalues of a clamped problem

Tao Zheng

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Abstract

In this paper, for the eigenvalue problem of a clamped plate problem on complex projective space with holomorphic sectional curvature c(> 0) and n(≥ 3)-dimensional noncompact simply connected complete Riemannian manifold with sectional curvature Sec satisfying − a 2Sec ≤ − b 2, where ab ≥ 0 are constants, we obtain universal eigenvalue inequalities. Moreover, we deduce the estimates of the upper bounds of eigenvalues.

Article information

Source
Kodai Math. J., Volume 38, Number 2 (2015), 249-269.

Dates
First available in Project Euclid: 9 July 2015

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1436403889

Digital Object Identifier
doi:10.2996/kmj/1436403889

Mathematical Reviews number (MathSciNet)
MR3368064

Zentralblatt MATH identifier
1323.35118

Citation

Zheng, Tao. Estimates of eigenvalues of a clamped problem. Kodai Math. J. 38 (2015), no. 2, 249--269. doi:10.2996/kmj/1436403889. https://projecteuclid.org/euclid.kmj/1436403889


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