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Sbornik: Mathematics, 2013, Volume 204, Issue 7, Pages 958–978
DOI: https://doi.org/10.1070/SM2013v204n07ABEH004326 (Mi sm8078) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A boundary-value problem in weighted Hölder spaces for elliptic equations which degenerate at the boundary of the domain

B. V. Bazalii, S. P. Degtyarev

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk
English version PDF (557 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM2013v204n07ABEH004326
Abstract: An elliptic boundary-value problem for second-order equations with nonnegative characteristic form is investigated in the situation when there is a weak degeneracy on the boundary of the domain. A priori estimates are obtained for solutions and the problem is proved to be solvable in some weighted Hölder spaces.
Bibliography: 18 titles.
Keywords: degenerate elliptic equation, weighted Hölder spaces, a priori estimate.
Received: 18.10.2011 and 15.07.2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.226+517.956.4
MSC: 35J25, 35J70
Language: English
Original paper language: Russian
Citation: B. V. Bazalii, S. P. Degtyarev, “A boundary-value problem in weighted Hölder spaces for elliptic equations which degenerate at the boundary of the domain”, Sb. Math., 204:7 (2013), 958–978
Citation in format AMSBIB
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\paper A boundary-value problem in weighted H\"older spaces for elliptic equations which degenerate at the boundary of the domain
\jour Sb. Math.
\yr 2013
\vol 204
\issue 7
\pages 958--978
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  • https://www.mathnet.ru/eng/sm/v204/i7/p25
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:863
    Russian version PDF:251
    English version PDF:76
    References:126
    First page:47
     
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