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1.	Chechkin, G. A., et al. (author) On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure 2007 In: Journal of inequalities and applications. - : Springer Science and Business Media LLC. - 1025-5834 .- 1029-242X. Journal article (peer-reviewed)abstract 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.
2.	Koroleva, Yulia (author) On the constant in the Friedrichs inequality 2007 In: Book of Abstracts of the International Conference ``Differential Equations and Related Topics'' dedicated to the Centenary Anniversary of Ivan G.Petrovskii (XXII Joint Session of Petrovskii Seminar and Moscow Mathematical Society) (May 21-26, 2007, Moscow, Russia). - Moscow : Moscow State University Press. ; , s. 153-154 Conference paper (peer-reviewed)

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Author/Editor: Persson, Lars-Erik (1); Koroleva, Yulia (1); Chechkin, G.A. (1); Koroleva, Yulia O. (1)

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