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Symmetrization and currents

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

Emanuel Sperner Jr
Emanuel Sperner Jr
Affiliation:
Fachbereich Mathematik und Physik, der Universität Bayreuth, Postfach 3008, D-8580 Bayreuth, Federal Republik of Germany
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Extract

Recently the notion of elementary symmetrization attracted new attention in the field of convex sets (see [L; W]), and it was proved that Minkowski's “Quermassintegrale” are decreased by elementary symmetrization. On the other hand, the concept of Schwarz symmetrization for Borel functions gained new interest from its possible applications in the field of elliptic partial differential equations (see [S1, S2, HI, T1, T2, HY1, HY2, GL1, GL2]).

MSC classification

Secondary: 52A20: Convex sets in $n$ dimensions (including convex hypersurfaces)
Type
Research Article
Information
Mathematika , Volume 26 , Issue 2 , December 1979 , pp. 269 - 289
Copyright
Copyright © University College London 1979

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