An isoperimetric inequality for logarithmic capacity of polygons

Alexander Yu Solynin; Victor A. Zalgaller

doi:10.4007/annals.2004.159.277

An isoperimetric inequality for logarithmic capacity of polygons

Alexander Yu Solynin, Victor A. Zalgaller

Mathematics and Statistics

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

18 Scopus citations

Abstract

We verify an old conjecture of G. Pólya and G. Szego saying that the regular n-gon minimizes the logarithmic capacity among all n-gons with a fixed area.

Original language	English
Pages (from-to)	277-303
Number of pages	27
Journal	Annals of Mathematics
Volume	159
Issue number	1
DOIs	https://doi.org/10.4007/annals.2004.159.277
State	Published - Jan 2004

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10.4007/annals.2004.159.277

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title = "An isoperimetric inequality for logarithmic capacity of polygons",

abstract = "We verify an old conjecture of G. P{\'o}lya and G. Szego saying that the regular n-gon minimizes the logarithmic capacity among all n-gons with a fixed area.",

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An isoperimetric inequality for logarithmic capacity of polygons

Abstract

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