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Global higher integrability of Jacobians on bounded domains
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posted on 2023-06-07, 22:30 authored by Jeff Hogan, Chun Li, Alan McIntosh, Kewei ZhangWe give conditions for a vector-valued function View the MathML source, satisfying View the MathML source on a bounded domain O, which imply that View the MathML source is globally higher integrable on O. We also give conditions for View the MathML source such that View the MathML source belongs to the Hardy space View the MathML source and exhibit some examples which show that our conditions are in some sense optimal. Applications to the weak convergence of Jacobians follow. Div-curl type extensions of these results to forms are also considered.
History
Publication status
- Published
Journal
Annales de l'Institut Henri Poincaré C, Analyse Non LinéaireISSN
0294-1449Publisher
ElsevierExternal DOI
Issue
2Volume
17Page range
193-217ISBN
0294-1449Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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