A LOWER BOUND FOR EIGENVALUES OF THE POLY-LAPLACIAN WITH ARBITRARY ORDER
A LOWER BOUND FOR EIGENVALUES OF THE POLY-LAPLACIAN WITH ARBITRARY ORDER
复制标题
DOI：
10.2140/pjm.2013.262.35
复制
发表时间：
2010-12
影响因子：
0.6
通讯作者：
Q. Cheng;Xuerong Qi;G. Wei
中科院分区：
文献类型：
--
作者：
Q. Cheng;Xuerong Qi;G. Wei
研究了n维欧氏空间中有界域上任意阶多项式的特征值问题。我们得到了这些特征值的一个下界，大大改进了Levine和Protter的下界。特别是，Melas(2003)的结果被包含在内。
We study eigenvalues of the poly-Laplacian of arbitrary order on a bounded domain in an n-dimensional Euclidean space. We obtain a lower bound for these eigenvalues, significantly improving on that of Levine and Protter. In particular, the result of Melas (2003) is subsumed.