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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 289, Pages 107–114
DOI: https://doi.org/10.1134/S0371968515020065 (Mi tm3630) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Embedding of a weighted Sobolev space and properties of the domain

O. V. Besov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (189 kB) Citations (6)
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DOI: https://doi.org/10.1134/S0371968515020065
Abstract: We establish the embedding $W_{p,v}^s(G)\subset L_{q,w}(G)$ for a weighted Sobolev space defined on an irregular domain $G$ in the case of the limiting exponent when the parameters satisfy certain relations that depend on the geometric properties of the domain $G$.
Funding agency Grant number
Russian Science Foundation 14-11-00443
Received: February 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 289, Pages 96–103
DOI: https://doi.org/10.1134/S0081543815040069
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: O. V. Besov, “Embedding of a weighted Sobolev space and properties of the domain”, Selected issues of mathematics and mechanics, Collected papers. In commemoration of the 150th anniversary of Academician Vladimir Andreevich Steklov, Trudy Mat. Inst. Steklova, 289, MAIK Nauka/Interperiodica, Moscow, 2015, 107–114; Proc. Steklov Inst. Math., 289 (2015), 96–103
Citation in format AMSBIB
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\by O.~V.~Besov
\paper Embedding of a weighted Sobolev space and properties of the domain
\inbook Selected issues of mathematics and mechanics
\bookinfo Collected papers. In commemoration of the 150th anniversary of Academician Vladimir Andreevich Steklov
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 289
\pages 107--114
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968515020065}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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