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  • Alkhutov, Yurij A., et al. (author)
  • Boyarsky-Meyers Estimate for Solutions to Zaremba Problem
  • 2022
  • In: Archive for Rational Mechanics and Analysis. - : SPRINGER. - 0003-9527 .- 1432-0673. ; 245:2, s. 1197-1211
  • Journal article (peer-reviewed)abstract
    • The variational solution to the Zaremba problem for a divergent linear second order elliptic equation with measurable coefficients is considered. The problem is set in a local Lipschitz graph domain. An estimate in L2+δ, δ > 0, for the gradient of a solution, is proved. An example of the problem with the Dirichlet data supported by a fractal set of zero (n - 1)-dimensional measure and non-zero p-capacity, p > 1 is constructed.
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  • Result 1-1 of 1
Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Alkhutov, Yurij A. (1)
Chechkin, Gregory A. (1)
Mazya, Vladimir (1)
University
Linköping University (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2022 (1)

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