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

Katie Gittins; Bernard Helffer

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arXiv · 2003.11304

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

Katie Gittins·Bernard Helffer

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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 $h<0\,$.

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BibTeX RIS

Katie Gittins, Bernard Helffer. 2020-03-25. Courant-sharp Robin eigenvalues for the square: the case of negative Robin parameter. https://arxiv.org/abs/2003.11304

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