高阶屈曲问题特征值的不等式
偏微分方程分析
2010-07-20 v2
摘要
本文研究欧氏空间和球面上紧区域上任意阶屈曲问题的特征值。我们证明了第 个特征值用其低阶特征值表示的、与区域无关的普遍界。我们的结果加强了 Jost、Li-Jost、Wang 和 Xia 近期的工作，并将 Cheng-Yang 近期关于二阶屈曲特征值的估计推广到了任意阶。
引用
@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}
}
备注
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