Affiliation:
1. Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga 840-8502, Japan
Abstract
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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,General Mathematics
Cited by
24 articles.
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