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A RELATIVE ISOPERIMETRIC INEQUALITY

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Publication:2905294
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DOI10.1142/S021919971250023XzbMath1254.26032OpenAlexW2065387927MaRDI QIDQ2905294

Michel Willem, Friedemann Brock

Publication date: 27 August 2012

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021919971250023x


zbMATH Keywords

isoperimetric inequalitiesPoincaré inequalityfunctions of bounded variationsection by hyperplanesstarshaped rearrangement


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Functions of bounded variation, generalizations (26A45)


Related Items (2)

Variable exponents and grand Lebesgue spaces: Some optimal results ⋮ The longest shortest fence and sharp Poincaré-Sobolev inequalities



Cites Work

  • Some critical minimization problems for functions of bounded variations
  • A sharp form of Poincaré type inequalities on balls and spheres
  • Rearrangements and convexity of level sets in PDE
  • On the Busemann-Petty problem for perturbations of the ball
  • Sur la meilleure constante dans une injection de Sobolev
  • Integral Inequalities of Poincare and Wirtinger Type for BV Functions




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