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arXiv · 1802.05502

Sharp Lower Bounds for the First Eigenvalues of the Bi-Laplace Operator

Qiaoling Wang·Changyu Xia
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Abstract

We obtain sharp lower bounds for the first eigenvalue of four types of eigenvalue problem defined by the bi-Laplace operator on compact manifolds with boundary and determine all the eigenvalues and the corresponding eigenfunctions of a Wentzell-type bi-Laplace problem on Euclidean balls.

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Qiaoling Wang, Changyu Xia. 2018-02-15. Sharp Lower Bounds for the First Eigenvalues of the Bi-Laplace Operator. https://arxiv.org/abs/1802.05502

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