Abstract
In this paper we study eigenvalues of a clamped plate problem on a bounded domain in an n-dimensional complete Riemannian manifold. By making use of Nash's theorem and introducing k free constants, we derive a universal bound for eigenvalues, which solves a problem proposed by Wang and Xia [16].
Citation
Qing-Ming CHENG. Takamichi ICHIKAWA. Shinji MAMETSUKA. "Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds." J. Math. Soc. Japan 62 (2) 673 - 686, April, 2010. https://doi.org/10.2969/jmsj/06220673
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