Upper Bound Estimates for Eigenvalues of the Poly-Laplacian
Differential Geometry
2016-05-13 v2 Analysis of PDEs
Abstract
In this paper, we obtain a sharp upper bound for the sum of the first -th eigenvalues for this Dirichlet problem of poly-Laplacian with any order, which is viewed as an extension of the result due to Cheng and Wei (Journal of Differential Equations, 255 (2013), 220-233). In particular, if and is large enough, we give an important improvement of their result.
Cite
@article{arxiv.1307.5313,
title = {Upper Bound Estimates for Eigenvalues of the Poly-Laplacian},
author = {Lingzhong Zeng},
journal= {arXiv preprint arXiv:1307.5313},
year = {2016}
}
Comments
There is a mistake in this paper, and thus the author plan to withdraw this paper. Thanks professor Chengjie Yu for pointing out this mistake