Rearrangements of functions on unbounded domains

R. J. Douglas

doi:10.1017/S0308210500028572

Rearrangements of functions on unbounded domains

R. J. Douglas^*

^*Corresponding author for this work

University of Bath

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

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.

Original language	English
Pages (from-to)	621-644
Number of pages	24
Journal	Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume	124
Issue number	4
DOIs	https://doi.org/10.1017/S0308210500028572
Publication status	Published - 1994
Externally published	Yes

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Rearrangements of functions on unbounded domains

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