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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on Cheeger sets
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by Alessio Figalli, Francesco Maggi and Aldo Pratelli PDF
Proc. Amer. Math. Soc. 137 (2009), 2057-2062 Request permission

Abstract:

Starting from the quantitative isoperimetric inequality, we prove a sharp quantitative version of the Cheeger inequality.
References
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Additional Information
  • Alessio Figalli
  • Affiliation: Université de Nice-Sophia Antipolis, Labo. J.-A. Dieudonné, UMR 6621, Parc Valrose, 06108 Nice Cedex 02, France
  • Address at time of publication: Centre de Mathématiques Laurent Schwartz, École Polytechnique, 91128 Palaiseau, France
  • Email: figalli@math.polytechnique.fr
  • Francesco Maggi
  • Affiliation: Dipartimento di Matematica, Università degli Studi di Firenze, viale Morgagni 67/A, 50134 Firenze, Italy
  • Email: maggi@math.unifi.it
  • Aldo Pratelli
  • Affiliation: Dipartimento di Matematica, Università degli Studi di Pavia, via Ferrata 1, 27100 Pavia, Italy
  • Email: aldo.pratelli@unipv.it
  • Received by editor(s): July 29, 2008
  • Published electronically: January 26, 2009
  • Additional Notes: The work of the second and third authors was partially supported by the GNAMPA through the 2008 research project Disuguaglianze geometrico-funzionali in forma ottimale e quantitativa
  • Communicated by: Tatiana Toro
  • © Copyright 2009 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 2057-2062
  • MSC (2000): Primary 39B62
  • DOI: https://doi.org/10.1090/S0002-9939-09-09795-0
  • MathSciNet review: 2480287