Upper bounds of nodal sets for eigenfunctions of eigenvalue problems

The aim of this article is to provide a simple and unified way to obtain the sharp upper bounds of nodal sets of eigenfunctions for different types of eigenvalue problems on real analytic domains. The examples include biharmonic Steklov eigenvalue problems, buckling eigenvalue problems and champed-p...

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Bibliographic Details

Published in:	Mathematische annalen Vol. 382; no. 3-4; pp. 1957 - 1984
Main Authors:	Lin, Fanghua, Zhu, Jiuyi
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2022 Springer Nature B.V
Subjects:	Eigenvalues Eigenvectors Estimates Mathematics Mathematics and Statistics Upper bounds 35J05 35P20 35P15 58J50
ISSN:	0025-5831, 1432-1807
Online Access:	Get full text
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