Calculus of Variations and Geometric Measure Theory
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G. M. Capriani

The Steiner rearrangement in any codimension

created by capriani on 16 Dec 2011
modified on 10 Dec 2012


Accepted Paper

Inserted: 16 dec 2011
Last Updated: 10 dec 2012

Journal: Calc. Var. Partial Differential Equations
Year: 2012


We analyze the Steiner rearrangement in any codimension of Sobolev and $BV$ functions. In particular, we prove a Pólya-Szegő 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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