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Portugaliae Mathematica


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Volume 75, Issue 3/4, 2018, pp. 329–366
DOI: 10.4171/PM/2022

Published online: 2019-06-06

Rigidity for perimeter inequalities under symmetrization: State of the art and open problems

Filippo Cagnetti[1]

(1) University of Sussex, Brighton, UK

We review some classical results in symmetrization theory, some recent progress in understanding rigidity, and indicate some open problems.

Keywords: Steiner symmetrization, Ehrhard symmetrization

Cagnetti Filippo: Rigidity for perimeter inequalities under symmetrization: State of the art and open problems. Port. Math. 75 (2018), 329-366. doi: 10.4171/PM/2022