INEQUALITIES FOR EIGENVALUES OF LAPLACIAN WITH ANY ORDER
INEQUALITIES FOR EIGENVALUES OF LAPLACIAN WITH ANY ORDER
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DOI：
10.1142/s0219199709003533
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发表时间：
2009-08
影响因子：
1.6
通讯作者：
Q. Cheng;T. Ichikawa;S. Mametsuka
中科院分区：
文献类型：
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作者：
Q. Cheng;T. Ichikawa;S. Mametsuka
本文研究了n维欧几里德空间上有界域上任意阶拉普拉斯算子的特征值，得到了特征值的估计，即yang型不等式。特别地，这里包括了杨的更尖锐的结果。此外，对于低阶特征值，我们得到了两个更尖锐的不等式。由此，给出了Ashbaugh[1]所宣布结果的证明。
In this paper, we study eigenvalues of Laplacian with any order on a bounded domain in an n-dimensional Euclidean space and obtain estimates for eigenvalues, which are the Yang-type inequalities. In particular, the sharper result of Yang is included here. Furthermore, for lower order eigenvalues, we obtain two sharper inequalities. As a consequence, a proof of results announced by Ashbaugh [1] is also given.