Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds
Qing-Ming ChengTakamichi IchikawaShinji Mametsuka
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2010 年 62 巻 2 号 p. 673-686

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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].

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© 2010 The Mathematical Society of Japan
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