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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

Journal of Inequalities and Applications volume 2007, Article number: 034138 (2008) Cite this article

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. It is assumed that consists of pieces with diameter of order. In addition, and as.

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Authors and Affiliations

  1. Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow Lomonosov State University, Moscow, 119991, Russia

    GA Chechkin & Yu O Koroleva

  2. Department of Mathematics, Luleå University of Technology, Luleå, 97187, Sweden

    L-E Persson

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  1. GA Chechkin
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  2. Yu O Koroleva
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  3. L-E Persson
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Correspondence to GA Chechkin.

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Chechkin, G., Koroleva, Y.O. & Persson, LE. On the Precise Asymptotics of the Constant in Friedrich's Inequality for Functions Vanishing on the Part of the Boundary with Microinhomogeneous Structure. J Inequal Appl 2007, 034138 (2008). https://doi.org/10.1155/2007/34138

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