Inequalities for eigenvalues of the buckling problem of arbitrary order

Qing-Ming Cheng; Xuerong Qi; Qiaoling Wang; Changyu Xia

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arXiv · 1010.2327

Inequalities for eigenvalues of the buckling problem of arbitrary order

Qing-Ming Cheng·Xuerong Qi·Qiaoling Wang·Changyu Xia

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Abstract

This paper studies eigenvalues of the buckling problem of arbitrary order on bounded 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 strengthen the recent work in [28] and generalize Cheng-Yang's recent estimates [16] on the buckling eigenvalues of order two to arbitrary order.

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BibTeX RIS

Qing-Ming Cheng, Xuerong Qi, Qiaoling Wang, Changyu Xia. 2010-10-12. Inequalities for eigenvalues of the buckling problem of arbitrary order. https://arxiv.org/abs/1010.2327

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