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Matematicheskie Zametki, 2016, Volume 100, Issue 2, Pages 270–278
DOI: https://doi.org/10.4213/mzm11160 (Mi mzm11160) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Dirichlet-Type Problem for Elliptic Systems Degenerate at a Line

S. Rutkauskas

Institute of Mathematics and Informatics, Vilnius University
Full-text PDF (474 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11160
Abstract: In this paper, the Dirichlet-type problem for the system of elliptic equations of second order with the degeneracy at a line crossing the domain is considered. The Dirichlet-type problem with additionally given asymptotics of the solution at this line is discussed. The uniqueness and the existence of the solution of this problem in the class of Hölder functions is proved.
Keywords: elliptic systems, degeneracy, Dirichlet problem, asymptotic of solutions.
Received: 15.09.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 2, Pages 276–283
DOI: https://doi.org/10.1134/S0001434616070221
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: S. Rutkauskas, “On the Dirichlet-Type Problem for Elliptic Systems Degenerate at a Line”, Mat. Zametki, 100:2 (2016), 270–278; Math. Notes, 100:2 (2016), 276–283
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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