A disc maximizes Laplace eigenvalues among isoperimetric surfaces of revolution
Analysis of PDEs
2014-10-08 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1410.1847,
title = {A disc maximizes Laplace eigenvalues among isoperimetric surfaces of revolution},
author = {Sinan Ariturk},
journal= {arXiv preprint arXiv:1410.1847},
year = {2014}
}