Eigenvalue estimates on domains in complete noncompact Riemannian manifolds
Eigenvalue estimates on domains in complete noncompact Riemannian manifolds
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DOI：
10.2140/pjm.2012.255.41
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发表时间：
2012-03
影响因子：
0.6
通讯作者：
Daguang Chen;Taotao Zheng;Min Lu
中科院分区：
文献类型：
--
作者：
Daguang Chen;Taotao Zheng;Min Lu
本文得到了n维（n3）非紧单连通完备黎曼流形中有界区域上Laplacian算子的Dirichlet特征值问题和固支板问题的特征值的普遍不等式，其中截面曲率Sec满足K2 Seck 2，Kk 0为常数.当M是H时，n。1/（n ~ 3），这些不等式就变成了Cheng和Yang以前发现的不等式。
In this paper, we obtain universal inequalities for eigenvalues of the Dirichlet eigenvalue problem of the Laplacian and the clamped plate problem on a bounded domain in an n-dimensional (n 3) noncompact simply connected complete Riemannian manifold with sectional curvature Sec satisfying K 2 Sec k 2 , where K k 0 are constants. When M is H n . 1/ (n 3), these inequalities become ones previously found by Cheng and Yang.