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      Rearrangements of functions on unbounded domains

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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.

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          Most cited references 11

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          Optimization—Theory and Applications

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            A global theory of steady vortex rings in an ideal fluid

             M Berger,  L. Fraenkel (1974)
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              Symétrie et compacité dans les espaces de Sobolev

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                Author and article information

                Journal
                applab
                Proceedings of the Royal Society of Edinburgh: Section A Mathematics
                Proceedings of the Royal Society of Edinburgh: Section A Mathematics
                Cambridge University Press (CUP)
                0308-2105
                1473-7124
                1994
                November 14 2011
                : 124
                : 04
                : 621-644
                Article
                10.1017/S0308210500028572
                © 2011

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