A lower bound for eigenvalues of the poly-Laplacian with arbitrary order
Differential Geometry
2010-12-15 v1 Analysis of PDEs
Abstract
In this paper, we study eigenvalues of the poly-Laplacian with arbitrary order on a bounded domain in an -dimensional Euclidean space and obtain a lower bound for eigenvalues, which gives an important improvement of results due to Levine and Protter. In particular, the result of Melas is included here.
Cite
@article{arxiv.1012.3006,
title = {A lower bound for eigenvalues of the poly-Laplacian with arbitrary order},
author = {Qing-Ming Cheng and Xuerong Qi and Guoxin Wei},
journal= {arXiv preprint arXiv:1012.3006},
year = {2010}
}