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

Gittins, K. and Helffer, B. (2021) 'Courant-sharp Robin eigenvalues for the square: the case of negative Robin parameter.', Asymptotic analysis., 124 (1-2). pp. 69-107.


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.

Item Type:Article
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Publisher statement:The final publication is available at IOS Press through
Date accepted:No date available
Date deposited:15 September 2020
Date of first online publication:08 July 2021
Date first made open access:15 September 2020

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