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arXiv · 1112.3845

The Steiner rearrangement in any codimension

Giuseppe Maria Capriani
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Abstract

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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Giuseppe Maria Capriani. 2011-12-16. The Steiner rearrangement in any codimension. https://doi.org/10.1007/s00526-012-0591-3

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