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Sbornik: Mathematics, 2014, Volume 205, Issue 2, Pages 220–223
DOI: https://doi.org/10.1070/SM2014v205n02ABEH004372 (Mi sm8272) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A class of sharp inequalities for periodic functions. Addendum to the paper “Smooth solutions of the Navier-Stokes equations” by S. I. Pokhozhaev

A. A. Ilyinab

a M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow
b A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
English version PDF (360 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2014v205n02ABEH004372
Abstract: We obtain sharp constants in multiplicative inequalities that characterize embeddings of the Sobolev spaces into the space of bounded continuous functions.
Bibliography: 2 titles.
Keywords: Sobolev inequalities, interpolation inequalities, sharp constants.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00203
12-01-00988
Received: 17.07.2013
Russian version:
Matematicheskii Sbornik, 2014, Volume 205, Number 2, Pages 71–74
DOI: https://doi.org/10.4213/sm8272
Bibliographic databases:
Document Type: Article
UDC: 517.97
MSC: 46E35
Language: English
Original paper language: Russian
Citation: A. A. Ilyin, “A class of sharp inequalities for periodic functions. Addendum to the paper “Smooth solutions of the Navier-Stokes equations” by S. I. Pokhozhaev”, Mat. Sb., 205:2 (2014), 71–74; Sb. Math., 205:2 (2014), 220–223
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2014v205n02ABEH004372
  • https://www.mathnet.ru/eng/sm/v205/i2/p71
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    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:495
    Russian version PDF:189
    English version PDF:20
    References:103
    First page:81
     
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