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On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure
Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow Lomonosov State University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2007 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242XArticle in journal (Refereed) Published
Abstract [en]

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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URN: urn:nbn:se:ltu:diva-5521DOI: 10.1155/2007/34138Local ID: 3a4fa560-c7f7-11dc-b13a-000ea68e967bOAI: diva2:978395
Validerad; 2007; Bibliografisk uppgift: Paper id:: 34138; 20080121 (larserik)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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Koroleva, Yulia O.Persson, Lars-Erik
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