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arXiv · 1410.1847

A disc maximizes Laplace eigenvalues among isoperimetric surfaces of revolution

Sinan Ariturk
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Abstract

The Dirichlet eigenvalues of the Laplace-Beltrami operator are larger on a flat disc than on any other surface of revoltuion immersed in Euclidean space with the same boundary.

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Sinan Ariturk. 2014-10-07. A disc maximizes Laplace eigenvalues among isoperimetric surfaces of revolution. https://arxiv.org/abs/1410.1847

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