Inequalities for Eigenvalues of the Buckling Problem of Higher Orders

Qiaoling Wang; Changyu Xia

Inequalities for Eigenvalues of the Buckling Problem of Higher Orders

Analysis of PDEs 2010-07-20 v2

Authors: Qiaoling Wang , Changyu Xia

Abstract

This paper studies eigenvalues of the buckling problem of arbitrary order on compact domains in Euclidean spaces and spheres. We prove universal bounds for the $k$ -th eigenvalue in terms of the lower ones independent of the domains. Our results strengthens the recent work by Jost, Li-Jost, Wang and Xia and generalizes Cheng-Yang's recent estimates on the buckling eigenvalues of order two to arbitrary order.

Keywords

buckling problem eigenvalue inequalities universal bounds compact domains Euclidean spaces spheres

Cite

@article{arxiv.1005.4195,
  title  = {Inequalities for Eigenvalues of the Buckling Problem of Higher Orders},
  author = {Qiaoling Wang and Changyu Xia},
  journal= {arXiv preprint arXiv:1005.4195},
  year   = {2010}
}

Comments

The authors understood that Qing-ming Cheng and Qi Xuerong have also obtained the same results. The four authors have decided to write a joint paper and so this paper has been withdraw

Related papers

View all related →