Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders
Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders
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, …