On the number of Courant-sharp Dirichlet eigenvalues
Spectral Theory
2017-03-31 v3 Analysis of PDEs
Abstract
We consider arbitrary open sets in Euclidean space with finite Lebesgue measure, and obtain upper bounds for (i) the largest Courant-sharp Dirichlet eigenvalue of , (ii) the number of Courant-sharp Dirichlet eigenvalues of . This extends recent results of P. B\'erard and B. Helffer.
Cite
@article{arxiv.1602.08376,
title = {On the number of Courant-sharp Dirichlet eigenvalues},
author = {Michiel van den Berg and Katie Gittins},
journal= {arXiv preprint arXiv:1602.08376},
year = {2017}
}
Comments
10 pages, 2 figures