Inserted: 16 dec 2011
Last Updated: 10 dec 2012
Journal: Calc. Var. Partial Differential Equations
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.