The Steiner rearrangement in any codimension |
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| Authors: | Giuseppe Maria Capriani |
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| Institution: | 1. Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli “Federico II”, Via Cintia, 80126, Naples, Italy
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| Abstract: | We analyze the Steiner rearrangement in any codimension of Sobolev and $BV$ functions. In particular, we prove a Pólya–Szeg? 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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