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Potentials for A-Quasiconvexity
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Raita, Bogdan (2019) Potentials for A-Quasiconvexity. Calculus of Variations and Partial Differential Equations, 58 . 107. doi:10.1007/s00526-019-1544-x ISSN 0944-2669.
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Official URL: https://doi.org/10.1007/s00526-019-1544-x
Abstract
We show that each constant rank operator A admits an exact potential B in frequency space. We use this fact to show that the notion of A -quasiconvexity can be tested against compactly supported vector fields. We also show that A -free Young measures are generated by sequences Buj , modulo shifts by the barycentre.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Calculus of Variations and Partial Differential Equations | ||||||
Publisher: | Springer | ||||||
ISSN: | 0944-2669 | ||||||
Official Date: | 3 June 2019 | ||||||
Dates: |
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Volume: | 58 | ||||||
Article Number: | 107 | ||||||
DOI: | 10.1007/s00526-019-1544-x | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Reuse Statement (publisher, data, author rights): | This is a post-peer-review, pre-copyedit version of an article published in Calculus of Variations and Partial Differential Equations. The final authenticated version is available online at: http://dx.doi.org/[insert DOI]”. | ||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||
Date of first compliant deposit: | 3 April 2019 | ||||||
Date of first compliant Open Access: | 16 August 2019 | ||||||
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