Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter

Gittins, K.; Helffer, B.

doi:10.3233/asy-201642

Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter

Gittins, K.; Helffer, B.

Authors

Dr Katie Gittins katie.gittins@durham.ac.uk
Assistant Professor

B. Helffer

Abstract

We consider the cases where there is equality in Courant’s nodal domain theorem for the Laplacian with a Robin boundary condition on the square. In our previous two papers, we treated the cases where the Robin parameter h>0 is large, small respectively. In this paper we investigate the case where h<0.

Citation

Gittins, K., & Helffer, B. (2021). Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter. Asymptotic Analysis, 124(1-2), 69-107. https://doi.org/10.3233/asy-201642

Journal Article Type	Article
Online Publication Date	Jul 8, 2021
Publication Date	2021
Deposit Date	Sep 15, 2020
Publicly Available Date	Sep 15, 2020
Journal	Asymptotic Analysis
Print ISSN	0921-7134
Electronic ISSN	0921-7134
Publisher	IOS Press
Peer Reviewed	Peer Reviewed
Volume	124
Issue	1-2
Pages	69-107
DOI	https://doi.org/10.3233/asy-201642