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Dettagli Bibliografici
Autori principali: Levitin, Michael, Yagudin, Rustem
Natura: Preprint
Pubblicazione: 2002
Soggetti:
Accesso online:https://arxiv.org/abs/math/0203231
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Sommario:
  • We conduct extensive numerical experiments aimed at finding the admissible range of the ratios of the first three eigenvalues of a planar Dirichlet Laplacian. The results improve the previously known theoretical estimates of M Ashbaugh and R Benguria. We also prove some properties of a maximizer of the ratio $λ_3/λ_1$.