The isoperimetric inequality for Steiner symmetrization of any codimension is investigated and the equality cases are characterized. Moreover, a quantitative version of this inequality is proven for convex sets.
Cite this article
Nicola Fusco, Marco Barchiesi, Filippo Cagnetti, Stability of the Steiner symmetrization of convex sets. J. Eur. Math. Soc. 15 (2013), no. 4, pp. 1245–1278DOI 10.4171/JEMS/391