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

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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 (US)
Pages (from-to)	589-593
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	353
Issue number	7
DOIs	https://doi.org/10.1016/j.crma.2015.04.006
State	Published - Jul 1 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2015.04.006

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

abstract = "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",

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AB - 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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An analytic proof of the planar quantitative isoperimetric inequality

Abstract

All Science Journal Classification (ASJC) codes

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