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Matematicheskie Zametki, 2017, Volume 102, Issue 1, Pages 39–51
DOI: https://doi.org/10.4213/mzm11035 (Mi mzm11035) 		 
This article is cited in 21 scientific papers (total in 21 papers)

On the Dirichlet–Riquier Problem for Biharmonic Equations

V. V. Karachika, B. T. Torebekb

a South Ural State University, Chelyabinsk
b Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan
Full-text PDF (504 kB) Citations (21)
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DOI: https://doi.org/10.4213/mzm11035
Abstract: The existence of a solution of the Dirichlet–Riquier problem for a homogeneous biharmonic equation in the unit ball with boundary operators up to third order containing normal derivatives and the Laplacian is studied. Existence theorems for the solutions of the problem are proved.
Keywords: biharmonic equation, boundary-value problem, normal derivatives, Laplacian.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0011
This work was supported in part by the Government of the Russian Federation (decree no. 211 of 16.03.2013) under contract no. 02. A03.21.0011.
Received: 15.12.2015
Revised: 01.09.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 1, Pages 31–42
DOI: https://doi.org/10.1134/S0001434617070045
Bibliographic databases:
Document Type: Article
UDC: 517.956.223
Language: Russian
Citation: V. V. Karachik, B. T. Torebek, “On the Dirichlet–Riquier Problem for Biharmonic Equations”, Mat. Zametki, 102:1 (2017), 39–51; Math. Notes, 102:1 (2017), 31–42
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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