Estimates of eigenvalues of a clamped problem
Estimates of eigenvalues of a clamped problem
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DOI：
10.2996/kmj/1436403889
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发表时间：
2015-06
影响因子：
0.6
通讯作者：
Taotao Zheng
中科院分区：
文献类型：
--
作者：
Taotao Zheng
本文对具有全纯截面曲率c（> 0）的复射影空间和n（≥ 3）维非紧单连通完备黎曼流形（截面曲率Sec满足− a2 ≤ Sec ≤ − B 2，其中a ≥ B ≥ 0为常数）上固支板问题的特征值问题，得到了泛特征值不等式.此外，我们还导出了特征值上界的估计。
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 2 ≤ Sec ≤ − b 2, where a ≥ b ≥ 0 are constants, we obtain universal eigenvalue inequalities. Moreover, we deduce the estimates of the upper bounds of eigenvalues.