An analytic proof of the planar quantitative isoperimetric inequality

Guohua Li; Xinyu Zhao; Zongqi Ding; Renjin Jiang

doi:10.1016/j.crma.2015.04.006

An analytic proof of the planar quantitative isoperimetric inequality

Guohua Li, Xinyu Zhao, Zongqi Ding, Renjin Jiang

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Abstract

© 2015 Académie des sciences. 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^∞-norm of the gradient of solutions to the Poisson equation.

Original language	English
Pages (from-to)	589-593
Journal	Comptes Rendus Mathematique
Volume	353
Issue number	7
DOIs	https://doi.org/10.1016/j.crma.2015.04.006
Publication status	Published - 1 Jan 2015

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title = "An analytic proof of the planar quantitative isoperimetric inequality",

abstract = "{\textcopyright} 2015 Acad{\'e}mie des sciences. 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∞-norm of the gradient of solutions to the Poisson equation.",

author = "Guohua Li and Xinyu Zhao and Zongqi Ding and Renjin Jiang",

year = "2015",

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AU - Ding, Zongqi

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N2 - © 2015 Académie des sciences. 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∞-norm of the gradient of solutions to the Poisson equation.

AB - © 2015 Académie des sciences. 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∞-norm of the gradient of solutions to the Poisson equation.

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DO - 10.1016/j.crma.2015.04.006

M3 - Article

VL - 353

SP - 589

EP - 593

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ER -

An analytic proof of the planar quantitative isoperimetric inequality

Abstract

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