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Matematicheskie Zametki, 2014, Volume 96, Issue 3, Pages 343–349
DOI: https://doi.org/10.4213/mzm10516 (Mi mzm10516) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Embedding of Sobolev Spaces and Properties of the Domain

O. V. Besov

Steklov Mathematical Institute of Russian Academy of Sciences
Full-text PDF (454 kB) Citations (17)
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DOI: https://doi.org/10.4213/mzm10516
Abstract: We establish the embedding of the Sobolev space $W_p^s(G)\subset L_q(G)$ for an irregular domain $G$ in the case of a limit exponent under new relations between the parameters depending on the geometric properties of the domain $G$.
Keywords: Sobolev space, Sobolev embedding theorem, domain with flexible $\sigma$-cone condition, Hölder's inequality, Marcinkiewicz interpolation theorem.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00684
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 07.04.2014
English version:
Mathematical Notes, 2014, Volume 96, Issue 3, Pages 326–331
DOI: https://doi.org/10.1134/S0001434614090041
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: O. V. Besov, “Embedding of Sobolev Spaces and Properties of the Domain”, Mat. Zametki, 96:3 (2014), 343–349; Math. Notes, 96:3 (2014), 326–331
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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