Abstract
We prove that no eigenvalue of the clamped disk can have multiplicity greater than six. Our method of proof is based on a new recursion formula, linear algebra arguments and a transcendence theorem due to Siegel and Shidlovskii.
Citation
Yuri Lvovsky. Dan Mangoubi. "Bounded multiplicity for eigenvalues of a circular vibrating clamped plate." J. Differential Geom. 121 (2) 369 - 383, June 2022. https://doi.org/10.4310/jdg/1659987895
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