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pro vyhledávání: '"MSC (2010): 58C40, 49Q10"'
Publikováno v:
Portugaliae Mathematica
Portugaliae Mathematica, European Mathematical Society Publishing House, 2021, 78 (1), pp.1--41
Portugaliae Mathematica, European Mathematical Society Publishing House, 2021, 78 (1), pp.1--41
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23269f1b4be533287c7954d7dde5b771
https://doi.org/10.4171/pm/2059
https://doi.org/10.4171/pm/2059
Autor:
Bérard, Pierre, Helffer, Bernard
The purpose of this note is to prove an Euler-type formula for partitions of the M\"obius strip. This formula was introduced in our joint paper with R.~Kiwan, "Courant-sharp property for Dirichlet eigenfunctions on the M\"obius strip" (arXiv:2005.011
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=arXiv_dedup_::ed1ba262062141de7588b7d8974123a0
https://hal.archives-ouvertes.fr/hal-02851314
https://hal.archives-ouvertes.fr/hal-02851314
