Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds
Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds
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DOI：
10.2969/jmsj/06220673
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发表时间：
2010-04
影响因子：
0.7
通讯作者：
Q. Cheng;T. Ichikawa;S. Mametsuka
中科院分区：
文献类型：
--
作者：
Q. Cheng;T. Ichikawa;S. Mametsuka
本文研究了n维完备黎曼流形中有界区域上固支板问题的特征值。利用Nash定理，通过引入k个自由常数，得到了特征值的一个泛界，解决了Wang和Xia [16]提出的一个问题。
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].