Universal bounds for eigenvalues of a buckling problem II
Differential Geometry
2011-07-12 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
In this paper, we investigate universal estimates for eigenvalues of a buckling problem. For a bounded domain in a Euclidean space, we give a positive contribution for obtaining a sharp universal inequality for eigenvalues of the buckling problem. For a domain in the unit sphere, we give an important improvement on the results of Wang and Xia [J. Funct. Anal. 245(2007), 334-352].
Cite
@article{arxiv.0908.3745,
title = {Universal bounds for eigenvalues of a buckling problem II},
author = {Qing-Ming Cheng and Hongcang Yang},
journal= {arXiv preprint arXiv:0908.3745},
year = {2011}
}
Comments
21 pages, a final version to appear in Trans. Amer. Math. Soc