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  • Chechkin, Gregory, et al. (author)
  • A new weighted Friedrichs-type inequality for a perforated domain with a sharp constant
  • 2011
  • In: Eurasian Mathematical Journal. - 2077-9879. ; 2:1, s. 81-103
  • Journal article (peer-reviewed)abstract
    • We derive a new three-dimensional Hardy-type inequality for a cube for the class of functions from the Sobolev space $H^1$ having zero trace on small holes distributed periodically along the boundary. The proof is based on a careful analysis of the asymptotic expansion of the first eigenvalue of a related spectral problem and the best constant of the corresponding Friedrichs-type inequality.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Persson, Lars-Erik (1)
Wall, Peter (1)
Chechkin, Gregory (1)
Koroleva, Yulia (1)
University
Luleå University of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2011 (1)

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