Geodesic
An isoperimetric inequality for logarithmic capacity of polygons
Alexander Yu. Solynin1 ; Victor A. Zalgaller2
1 Department of Mathematical Sciences, University of Arkansas, Fayetteville, AR 72701, United States
2 Faculty of Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot 76100, Israel
Annals of mathematics, Tome 159 (2004) no. 1, pp. 277-303.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We verify an old conjecture of G. Pólya and G. Szegő saying that the regular $n$-gon minimizes the logarithmic capacity among all $n$-gons with a fixed area.
DOI : 10.4007/annals.2004.159.277

Alexander Yu. Solynin 1 ; Victor A. Zalgaller 2

1 Department of Mathematical Sciences, University of Arkansas, Fayetteville, AR 72701, United States
2 Faculty of Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot 76100, Israel 
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Alexander Yu. Solynin; Victor A. Zalgaller. An isoperimetric inequality for logarithmic capacity of polygons. Annals of mathematics, Tome 159 (2004) no. 1, pp. 277-303. doi : 10.4007/annals.2004.159.277. http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.277/

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