Rigidity for the P\'olya-Szeg\"o inequality under circular rearrangement
Analysis of PDEs
2026-05-05 v1
Abstract
A P\'olya-Szeg\"o inequality for the circular rearrangement is proven, under general assumptions. In addition, sufficient conditions are given, under which all the extremals of the inequality are symmetric.
Keywords
Cite
@article{arxiv.2605.01547,
title = {Rigidity for the P\'olya-Szeg\"o inequality under circular rearrangement},
author = {F. Cagnetti and G. Domazakis and M. Perugini and F. Seuffert},
journal= {arXiv preprint arXiv:2605.01547},
year = {2026}
}