Pointwise symmetrization inequalities for Sobolev functions and applications

Joaquim Martín, Mario Milman

Research output: Contribution to journalArticleResearchpeer-review

22 Citations (Scopus)

Abstract

We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations. © 2010 Elsevier Inc.
Original languageEnglish
Pages (from-to)121-199
JournalAdvances in Mathematics
Volume225
Issue number1
DOIs
Publication statusPublished - 1 Sep 2010

Keywords

  • Concentration
  • Isoperimetric inequalities
  • Logarithmic Sobolev inequalities
  • Poincaré
  • Symmetrization

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