Geodesic
Stability of the Steiner symmetrization of convex sets
Journal of the European Mathematical Society, Tome 15 (2013) no. 4, pp. 1245-1278.

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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.
DOI : 10.4171/jems/391
Classification : 49-XX, 52-XX, 00-XX
Keywords: Steiner symmetrization, quantitative isoperimetric inequality 
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     author = {Marco Barchiesi and Filippo Cagnetti and Nicola Fusco},
     title = {Stability of the {Steiner} symmetrization of convex sets},
     journal = {Journal of the European Mathematical Society},
     pages = {1245--1278},
     publisher = {mathdoc},
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     number = {4},
     year = {2013},
     doi = {10.4171/jems/391},
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}
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Marco Barchiesi; Filippo Cagnetti; Nicola Fusco. Stability of the Steiner symmetrization of convex sets. Journal of the European Mathematical Society, Tome 15 (2013) no. 4, pp. 1245-1278. doi : 10.4171/jems/391. http://geodesic.mathdoc.fr/articles/10.4171/jems/391/

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