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Lower bounds for sums of eigenvalues of the buckling problem

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Abstract

This paper studies the lower bound of eigenvalues of the buckling problem with the Dirichlet boundary condition. We prove some Berezin–Li–Yau type inequalities with additional term for the buckling problem on a bounded domain in the Euclidean space.

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Acknowledgements

The author appreciates the anonymous reviewer(s) for their valuable suggestions and constructive comments to improving the paper. This work was partially supported by the National Natural Science Foundation of China under the grants 11801443.

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  1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China

    Pan Liu

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  1. Pan Liu
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Correspondence to Pan Liu.

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Communicated by Adrian Constantin.

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Liu, P. Lower bounds for sums of eigenvalues of the buckling problem. Monatsh Math 198, 591–618 (2022). https://doi.org/10.1007/s00605-022-01695-0

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