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Matematicheskie Zametki, 2004, Volume 75, Issue 3, Pages 360–371
DOI: https://doi.org/10.4213/mzm40 (Mi mzm40) 		 
This article is cited in 35 scientific papers (total in 35 papers)

On the Eigenvalues of Finitely Perturbed Laplace Operators in Infinite Cylindrical Domains

V. V. Grushin

Moscow State Institute of Electronics and Mathematics
Full-text PDF (225 kB) Citations (35)
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DOI: https://doi.org/10.4213/mzm40
Abstract: In this paper, sufficient conditions for the existence of eigenvalues of a finitely perturbed Laplace operator in an infinite cylindrical domain and their asymptotics in the small parameter are given. Similar questions for tubes, i.e., deformed cylinders, are also considered.
Received: 26.05.2003
English version:
Mathematical Notes, 2004, Volume 75, Issue 3, Pages 331–340
DOI: https://doi.org/10.1023/B:MATN.0000023312.41107.72
Bibliographic databases:
UDC: 517.958 517.95
Language: Russian
Citation: V. V. Grushin, “On the Eigenvalues of Finitely Perturbed Laplace Operators in Infinite Cylindrical Domains”, Mat. Zametki, 75:3 (2004), 360–371; Math. Notes, 75:3 (2004), 331–340
Citation in format AMSBIB
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    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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