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Bounds on eigenvalues of Dirichlet Laplacian

✍ Scribed by Qing-Ming Cheng; Hongcang Yang

Publisher: Springer
Year: 2006
Tongue: English
Weight: 207 KB
Volume: 337
Category: Article
ISSN: 0025-5831
DOI: 10.1007/s00208-006-0030-x

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## Abstract It is shown that there exist domains Ω ⊂ ℝ^__N__^, which outside of some ball coincide with the strip ℝ^__N__ − 1^ × (0, π) and for which the Dirichlet Laplacian – Δ has eigenvalues within the subinterval (1, 4) of the essential spectrum (1, ∞).