• Corpus ID: 55659054

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

@article{Wang2018SharpLB,
title={Sharp Lower Bounds for the First Eigenvalues of the Bi-Laplace Operator},
author={Qiaoling Wang and Changyu Xia},
journal={arXiv: Analysis of PDEs},
year={2018}
}
• Published 15 February 2018
• Mathematics
• arXiv: Analysis of PDEs
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.
4 Citations
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