English

Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order

Differential Geometry 2009-10-13 v1 Analysis of PDEs

Abstract

We investigate the eigenvalues of the buckling problem of arbitrary order on compact domains in Euclidean spaces and spheres. We obtain universal bounds for the kkth eigenvalue in terms of the lower eigenvalues independently of the particular geometry of the domain.

Keywords

Cite

@article{arxiv.0910.2063,
  title  = {Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order},
  author = {Jürgen Jost and Xianqing Li-Jost and Qiaoling Wang and Changyu Xia},
  journal= {arXiv preprint arXiv:0910.2063},
  year   = {2009}
}

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24 pages