Stability of the Steiner symmetrization of convex sets

Marco Barchiesi; Filippo Cagnetti; Nicola Fusco

Journal of the European Mathematical Society (2013)

  • Volume: 015, Issue: 4, page 1245-1278
  • ISSN: 1435-9855

Abstract

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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.

How to cite

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Barchiesi, Marco, Cagnetti, Filippo, and Fusco, Nicola. "Stability of the Steiner symmetrization of convex sets." Journal of the European Mathematical Society 015.4 (2013): 1245-1278. <http://eudml.org/doc/277576>.

@article{Barchiesi2013,
abstract = {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.},
author = {Barchiesi, Marco, Cagnetti, Filippo, Fusco, Nicola},
journal = {Journal of the European Mathematical Society},
keywords = {Steiner symmetrization; quantitative isoperimetric inequality; Steiner symmetrization; quantitative isoperimetric inequality},
language = {eng},
number = {4},
pages = {1245-1278},
publisher = {European Mathematical Society Publishing House},
title = {Stability of the Steiner symmetrization of convex sets},
url = {http://eudml.org/doc/277576},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Barchiesi, Marco
AU - Cagnetti, Filippo
AU - Fusco, Nicola
TI - Stability of the Steiner symmetrization of convex sets
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 4
SP - 1245
EP - 1278
AB - 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.
LA - eng
KW - Steiner symmetrization; quantitative isoperimetric inequality; Steiner symmetrization; quantitative isoperimetric inequality
UR - http://eudml.org/doc/277576
ER -

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