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

Gittins, K.; Helffer, B.

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: 1875-8576
• Publisher: IOS Press
• Peer Reviewed: Peer Reviewed
• Volume: 124
• Issue: 1-2
• Pages: 69-107
• DOI: https://doi.org/10.3233/asy-201642
• Public URL: https://durham-repository.worktribe.com/output/1262257