Proof of the local version of the Pólya--Szegö conjecture for the torsional rigidity of polygons

Beniamin Bogosel, Dorin Bucur, Ilaria Fragalà

We prove the local version of the Pólya--Szegö conjecture for the torsional rigidity of polygons: for every \(n\geq5\), the regular $n$-gon is a strict local maximizer of torsional…