4.5 Article

Functions of bounded variation and rearrangements

Journal

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 165, Issue 1, Pages 1-40

Publisher

SPRINGER-VERLAG
DOI: 10.1007/S00205-002-0214-9

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The action of the symmetric rearrangement of functions of bounded variation is investigated. In particular, pointwise regularizing effects are established. Polya-Szego type inequalities, with a characterization of equality cases, are also proved.

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