Functions of bounded variation and polarization

被引：0

作者：

Alberico, Angela ^{[2
]}

Ferone, Adele ^{[1
]}

Volpicelli, Roberta ^{[3
]}

机构：

[1] Univ Naples 2, Dipartimento Matemat, I-81100 Caserta, Italy

[2] CNR, Sez Napoli, Ist Applicaz Calcolo M Picone, I-80131 Naples, Italy

[3] Univ Naples Federico 2, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

来源：

MATHEMATISCHE NACHRICHTEN | 2009年 / 282卷 / 07期

关键词：

Symmetrization; polarization; functions of bounded variation; integral functionals; SYMMETRIZATION; INEQUALITIES; REARRANGEMENTS; EQUALITY;

D O I：

10.1002/mana.200710782

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that, if u is a real valued function on RN of bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation of u and that one of its polar u(Pi). (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：953 / 963

页数：11

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