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On the precise asym...
On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure
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- Chechkin, G. A. (author)
- Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow Lomonosov State University
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Koroleva, Yulia O. (author)
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- Persson, Lars-Erik (author)
- Uppsala universitet,Luleå tekniska universitet,Matematiska vetenskaper,Tillämpad matematik
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(creator_code:org_t)
- Springer Science and Business Media LLC, 2007
- 2007
- English.
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In: Journal of inequalities and applications. - : Springer Science and Business Media LLC. - 1025-5834 .- 1029-242X.
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Matematik
- Mathematics
- MATHEMATICS
Publication and Content Type
- ref (subject category)
- art (subject category)
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