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- W3021127321 abstract "The question of determining for which eigenvalues there exists an eigenfunction which has the same number of nodal domains as the label of the associated eigenvalue (Courant-sharp property) was motivated by the analysis of minimal spectral partitions. In previous works, many examples have been analyzed corresponding to squares, rectangles, disks, triangles, tori, ldots . A natural toy model for further investigations is the Mobius strip, a non-orientable surface with Euler characteristic $0$, and particularly the square Mobius strip whose eigenvalues have higher multiplicities. In this case, we prove that the only Courant-sharp Dirichlet eigenvalues are the first and the second, and we exhibit peculiar nodal patterns." @default.
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- W3021127321 date "2021-01-01" @default.
- W3021127321 modified "2023-10-17" @default.
- W3021127321 title "Courant-sharp property for Dirichlet eigenfunctions on the Möbius strip" @default.
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