On Pleijel's nodal domain theorem
Spectral Theory
2013-08-22 v1
Abstract
A slight improvement of Pleijel's estimate on the number of nodal domains is obtained, exploiting a refinement of the Faber-Krahn inequality and packing density of discs.
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Cite
@article{arxiv.1308.4422,
title = {On Pleijel's nodal domain theorem},
author = {Jean Bourgain},
journal= {arXiv preprint arXiv:1308.4422},
year = {2013}
}
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9 pages