The Steiner rearrangement in any codimension

Details The Steiner rearrangement in any codimension The Steiner rearrangement in any codimension

2011-12-16

arxiv.org/abs/1112.3845v1

Mathematics

Analysis of PDEs

Scientific paper

We analyze the Steiner rearrangement in any codimension of Sobolev and $BV$
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.

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