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Matematicheskie Zametki, 2001, Volume 70, Issue 4, Pages 520–534
DOI: https://doi.org/10.4213/mzm764 (Mi mzm764) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Two-Parameter Asymptotics in a Boundary-Value Problem for the Laplacian

D. I. Borisov

Bashkir State Pedagogical University
Full-text PDF (247 kB) Citations (16)
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DOI: https://doi.org/10.4213/mzm764
Abstract: We study a model boundary-value problem for the Laplacian in the unit disk with closely-spaced and periodic alternation of the type of boundary condition for the case in which the Dirichlet problem is the limit one. We study and justify the two-parameter asymptotics of an eigenvalue of the perturbed problem converging to a simple eigenvalue of the limit problem.
Received: 20.04.1999
Revised: 10.04.2001
English version:
Mathematical Notes, 2001, Volume 70, Issue 4, Pages 471–485
DOI: https://doi.org/10.1023/A:1012372501740
Bibliographic databases:
UDC: 517.956
Language: Russian
Citation: D. I. Borisov, “Two-Parameter Asymptotics in a Boundary-Value Problem for the Laplacian”, Mat. Zametki, 70:4 (2001), 520–534; Math. Notes, 70:4 (2001), 471–485
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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