Rearrangements of functions on unbounded domains

R. J. Douglas

doi:10.1017/S0308210500028572

Rearrangements of functions on unbounded domains

R. J. Douglas^*

^*Awdur cyfatebol y gwaith hwn

University of Bath

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

25 Dyfyniadau (Scopus)

Crynodeb

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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	621-644
Nifer y tudalennau	24
Cyfnodolyn	Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Cyfrol	124
Rhif cyhoeddi	4
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1017/S0308210500028572
Statws	Cyhoeddwyd - 1994
Cyhoeddwyd yn allanol	Ie

Mynediad at Ddogfen

10.1017/S0308210500028572

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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.",

author = "Douglas, \{R. J.\}",

year = "1994",

doi = "10.1017/S0308210500028572",

language = "English",

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journal = "Proceedings of the Royal Society of Edinburgh: Section A Mathematics",

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AB - 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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DO - 10.1017/S0308210500028572

M3 - Article

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JO - Proceedings of the Royal Society of Edinburgh: Section A Mathematics

JF - Proceedings of the Royal Society of Edinburgh: Section A Mathematics

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Rearrangements of functions on unbounded domains

Crynodeb

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