The Steiner rearrangement in any codimension
Analysis of PDEs
2013-04-05 v2
Abstract
We analyze the Steiner rearrangement in any codimension of Sobolev and functions. In particular, we prove a P\'olya-Szeg\H{o} inequality for a large class of convex integrals. Then, we give minimal assumptions under which functions attaining equality are necessarily Steiner symmetric.
Cite
@article{arxiv.1112.3845,
title = {The Steiner rearrangement in any codimension},
author = {Giuseppe Maria Capriani},
journal= {arXiv preprint arXiv:1112.3845},
year = {2013}
}