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Rearrangements of functions on unbounded domains

Published online by Cambridge University Press:  14 November 2011

R. J. Douglas
R. J. Douglas
Affiliation:
School of Mathematics, University of Bath, Claverton Down, Bath BA 27AY, U.K.
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Abstract

A characterisation is provided for the weak closure of the set of rearrangements of a function on an unbounded domain. The extreme points of this convex, weakly compact set are classified. This result is used to study the maximising sequences of a variational problem for steady vortices.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 4 , 1994 , pp. 621 - 644
Copyright
Copyright © Royal Society of Edinburgh 1994

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