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  • Chechkin, G. A.Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow Lomonosov State University (author)

On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure

  • Article/chapterEnglish2007

Publisher, publication year, extent ...

  • Springer Science and Business Media LLC,2007
  • electronicrdacarrier

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  • LIBRIS-ID:oai:DiVA.org:ltu-5521
  • https://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-5521URI
  • https://doi.org/10.1155/2007/34138DOI
  • https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-14160URI

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  • Language:English
  • Summary in:English

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  • Subject category:ref swepub-contenttype
  • Subject category:art swepub-publicationtype

Notes

  • Validerad; 2007; Bibliografisk uppgift: Paper id:: 34138; 20080121 (larserik)
  • We construct the asymptotics of the sharp constant in the Friedrich-type inequality for functions, which vanish on the small part of the boundary Γ1ɛ. It is assumed that Γ1ɛ consists of (1/δ)n-1 pieces with diameter of order O(ɛδ). In addition, δ=δ(ɛ) and δ→0 as ɛ→0.

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Added entries (persons, corporate bodies, meetings, titles ...)

  • Koroleva, Yulia O. (author)
  • Persson, Lars-ErikUppsala universitet,Luleå tekniska universitet,Matematiska vetenskaper,Tillämpad matematik(Swepub:uu)laper839 (author)
  • Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow Lomonosov State UniversityMatematiska vetenskaper (creator_code:org_t)

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  • In:Journal of inequalities and applications: Springer Science and Business Media LLC1025-58341029-242X

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