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Poincaré inequality on subanalytic sets

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Publication:1979243
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DOI10.1007/s12220-021-00652-xzbMath1497.14118arXiv2010.11529OpenAlexW3147813126MaRDI QIDQ1979243

Guillaume Valette, Anna Valette-Stasica

Publication date: 2 September 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.11529


zbMATH Keywords

Sobolev spacesPoincaré inequalitysubanalytic setssingular domains


Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Inequalities involving derivatives and differential and integral operators (26D10) Semi-analytic sets, subanalytic sets, and generalizations (32B20)


Related Items (2)

Uniform Poincaré inequality in o-minimal structures ⋮ Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets



Cites Work

  • Unnamed Item
  • Unnamed Item
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  • Lipschitz triangulations
  • Stochastic differential equations. An introduction with applications
  • Semianalytic and subanalytic sets
  • Finding curves on general spaces through quantitative topology, with applications to Sobolev and Poincaré inequalities
  • Poincaré duality for \(L^p\) cohomology on subanalytic singular spaces


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