Corpus ID: 235166755

# The Bilaplacian with Robin boundary conditions

@inproceedings{Buoso2021TheBW,
title={The Bilaplacian with Robin boundary conditions},
author={Davide Buoso and James B. Kennedy},
year={2021}
}
• Published 2021
• Mathematics
We introduce Robin boundary conditions for biharmonic operators, which are a model for elastically supported plates and are closely related to the study of spaces of traces of Sobolev functions. We study the dependence of the operator, its eigenvalues, and eigenfunctions on the Robin parameters. We show in particular that when the parameters go to plus infinity the Robin problem converges to other biharmonic problems, and obtain estimates on the rate of divergence when the parameters go to… Expand
4 Citations
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• Mathematics
• 2021
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Semiclassical bounds for spectra of biharmonic operators.
• Mathematics
• 2019
The averaged variational principle (AVP) is applied to various biharmonic operators. For the Riesz mean $R_1(z)$ of the eigenvalues we improve the known sharp semiclassical bounds in terms of theExpand
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• Mathematics
• 2021
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• Mathematics
• 2020
Among all $C^{\infty}$ bounded domains with equal volume, we show that the second eigenvalue of the Robin plate is uniquely maximized by an open ball, so long as the Robin parameter lies within aExpand

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