Journal article
Extremal rank-one convex integrands and a conjecture of Šverák
- Abstract:
- We show that, in order to decide whether a given probability measure is laminate, it is enough to verify Jensen’s inequality in the class of extremal non-negative rank-one convex integrands. We also identify a subclass of these extremal integrands, consisting of truncated minors, thus proving a conjecture made by Šverák (Arch Ration Mech Anal 119(4):293–300, 1992).
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 393.7KB, Terms of use)
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- Publisher copy:
- 10.1007/s00526-019-1646-5
Authors
- Publisher:
- Springer Verlag
- Journal:
- Calculus of Variations and Partial Differential Equations More from this journal
- Volume:
- 58
- Issue:
- 6
- Article number:
- 201
- Publication date:
- 2019-11-01
- Acceptance date:
- 2019-09-30
- DOI:
- EISSN:
-
1432-0835
- ISSN:
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0944-2669
- Language:
-
English
- Pubs id:
-
pubs:1072960
- UUID:
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uuid:a19118a5-3f74-4a46-b7f5-a8e60b020fae
- Local pid:
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pubs:1072960
- Source identifiers:
-
1072960
- Deposit date:
-
2019-11-19
Terms of use
- Copyright holder:
- Guerra
- Copyright date:
- 2019
- Notes:
- © The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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