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Matematicheskie Zametki, 2013, Volume 93, Issue 1, Pages 3–12
DOI: https://doi.org/10.4213/mzm9194 (Mi mzm9194) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Uniqueness of Positive Radially Symmetric Solutions of the Dirichlet Problem for a Nonlinear Elliptic System of Second Order

E. I. Abduragimov

Daghestan State University
Full-text PDF (479 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm9194
Abstract: We prove the existence and uniqueness of positive radially symmetric solutions of the Dirichlet problem for a nonlinear elliptic system of second order. A numerical method for constructing such solutions is also given.
Keywords: nonlinear elliptic system of second order, radially symmetric function, Dirichlet problem, Cauchy problem, test function, blow-up of global solutions.
Received: 12.07.2011
Revised: 28.07.2011
English version:
Mathematical Notes, 2013, Volume 93, Issue 1, Pages 3–11
DOI: https://doi.org/10.1134/S000143461301001X
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: E. I. Abduragimov, “Uniqueness of Positive Radially Symmetric Solutions of the Dirichlet Problem for a Nonlinear Elliptic System of Second Order”, Mat. Zametki, 93:1 (2013), 3–12; Math. Notes, 93:1 (2013), 3–11
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v93/i1/p3
    • This publication is cited in the following 2 articles:
    1. Kozhanov I A., Dyuzheva V A., “Non-Local Problems With Integral Displacement For High-Order Parabolic Equations”, Bull. Irkutsk State Univ.-Ser. Math., 36 (2021), 14–28  crossref  mathscinet  isi
    2. E. I. Abduragimov, “Positive Radially Symmetric Solution of the Dirichlet Problem for a Nonlinear Elliptic System with p-Laplacian”, Math. Notes, 100:5 (2016), 649–659  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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