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Matematicheskie Zametki, 2001, Volume 70, Issue 3, Pages 403–418
DOI: https://doi.org/10.4213/mzm752 (Mi mzm752) 		 
This article is cited in 31 scientific papers (total in 31 papers)

The Exterior Dirichlet Problem for the Biharmonic Equation: Solutions with Bounded Dirichlet Integral

H. Matevossian

M. V. Lomonosov Moscow State University
Full-text PDF (223 kB) Citations (31)
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DOI: https://doi.org/10.4213/mzm752
Abstract: We study the unique solvability of the Dirichlet problem for the biharmonic equation in the exterior of a compact set under the assumption that a generalized solution of this problem has a bounded Dirichlet integral with weight $|x|^a$. Depending on the value of the parameter $a$, we prove uniqueness theorems or present exact formulas for the dimension of the solution space of the Dirichlet problem.
Received: 10.01.2000
English version:
Mathematical Notes, 2001, Volume 70, Issue 3, Pages 363–377
DOI: https://doi.org/10.1023/A:1012347929056
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: H. Matevossian, “The Exterior Dirichlet Problem for the Biharmonic Equation: Solutions with Bounded Dirichlet Integral”, Mat. Zametki, 70:3 (2001), 403–418; Math. Notes, 70:3 (2001), 363–377
Citation in format AMSBIB
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    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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