Bounds on the multiplicity of eigenvalues for fixed membranes
Analysis of PDEs
2007-05-23 v3 Differential Geometry
Abstract
For a membrane in the plane the multiplicity of the -th eigenvalue is known to be not greater than . Here we prove that it is actually not greater than , for .
Cite
@article{arxiv.math/9801090,
title = {Bounds on the multiplicity of eigenvalues for fixed membranes},
author = {Thomas Hoffman-Ostenhof and Peter W. Michor and Nikolai Nadirashvili},
journal= {arXiv preprint arXiv:math/9801090},
year = {2007}
}
Comments
AmSTeX, epsf.tex, 17 encapsulated postscript figures, 17 pages. Third version with minor stylistic improvements