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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 1(30), Pages 90–96
DOI: https://doi.org/10.14498/vsgtu1163 (Mi vsgtu1163) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

Solutions of anisotropic elliptic equations in unbounded domains

L. M. Kozhevnikova, A. A. Khadzhi

Sterlitamak Branch of Bashkir State University, Sterlitamak, 453103, Russia
Full-text PDF (162 kB) Citations (8)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1163
Abstract: In the paper the Dirichlet problem for an anisotropic quasilinear elliptic equations of the second order is considered. The upper estimates for the generalized solution of this Dirichlet problem are received, the closeness is proved for the isotropic case.
Keywords: Dirichlet problem, anisotropic equation, quasilinear elliptic equation, generalized solution, unbounded domain, decrease of the solution, existence of solution, uniqueness of the solution, Harnack inequality, domain of rotation.
Original article submitted 14/XI/2012
revision submitted – 17/I/2013
Bibliographic databases:
Document Type: Article
UDC: 517.956.25
MSC: Primary 35J62; Secondary 35J25, 35J15
Language: Russian
Citation: L. M. Kozhevnikova, A. A. Khadzhi, “Solutions of anisotropic elliptic equations in unbounded domains”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 90–96
Citation in format AMSBIB
\Bibitem{KozKha13}
\by L.~M.~Kozhevnikova, A.~A.~Khadzhi
\paper Solutions of anisotropic elliptic equations in~unbounded domains
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 90--96
\mathnet{http://mi.mathnet.ru/vsgtu1163}
\crossref{https://doi.org/10.14498/vsgtu1163}
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  • https://www.mathnet.ru/eng/vsgtu/v130/p90
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :256
    References:70
    First page:1
     
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