摘要
本文研究了球面域上高阶拉普拉斯的特征值问题.利用Rayleigh-Ritz不等式,获得了球面域上高阶拉普拉斯的第(k+1)个特征值的上界估计,这个估计式由前k个特征值给出.
This paper studies the universal inequalities of eigenvalues for higher order Laplacians on spherical domains. By using the Rayleigh-Ritz inequality, we obtain explicit upper bound for the （k＋ 1）-th eigenvalue of higher order Laplacians on spherical domain in terms of its first k eigenvalues.
出处
《数学杂志》
CSCD
北大核心
2009年第4期449-453,共5页
Journal of Mathematics
基金
Supported by NSFC of China (No.10671181)
Project of Henan Provincialdepart ment of Sciences and Technology (No.092300410143)
NSF of Henan Provincial Education depart ment (No .2009A110010)
