4.2 Article

An analytic proof of the planar quantitative isoperimetric inequality

Journal

COMPTES RENDUS MATHEMATIQUE
Volume 353, Issue 7, Pages 589-593

Publisher

ACAD SCIENCES
DOI: 10.1016/j.crma.2015.04.006

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Funding

  1. National Training Program of Innovation and Entrepreneurship for Undergraduates [201410027054]
  2. NSFC [11301029]
  3. Marie Curie Initial Training Network MAnET [FP7-607647]

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We give an analytic proof of the quantitative isoperimetric inequality in the plane and give an estimation of the upper bound of the constant via maximizing the L-infinity-norm of the gradient of solutions to the Poisson equation. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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