Extremal rank-one convex integrands and a conjecture of Šverák
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 conj...
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| Format: | Journal article |
| Langue: | English |
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Springer Verlag
2019
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| _version_ | 1826307466421338112 |
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| author | Guerra, A |
| author_facet | Guerra, A |
| author_sort | Guerra, A |
| collection | OXFORD |
| description | 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). |
| first_indexed | 2024-03-07T07:03:33Z |
| format | Journal article |
| id | oxford-uuid:a19118a5-3f74-4a46-b7f5-a8e60b020fae |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:03:33Z |
| publishDate | 2019 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:a19118a5-3f74-4a46-b7f5-a8e60b020fae2022-04-07T11:30:51ZExtremal rank-one convex integrands and a conjecture of ŠverákJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a19118a5-3f74-4a46-b7f5-a8e60b020faeEnglishSymplectic Elements at OxfordSpringer Verlag2019Guerra, AWe 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). |
| spellingShingle | Guerra, A Extremal rank-one convex integrands and a conjecture of Šverák |
| title | Extremal rank-one convex integrands and a conjecture of Šverák |
| title_full | Extremal rank-one convex integrands and a conjecture of Šverák |
| title_fullStr | Extremal rank-one convex integrands and a conjecture of Šverák |
| title_full_unstemmed | Extremal rank-one convex integrands and a conjecture of Šverák |
| title_short | Extremal rank-one convex integrands and a conjecture of Šverák |
| title_sort | extremal rank one convex integrands and a conjecture of sverak |
| work_keys_str_mv | AT guerraa extremalrankoneconvexintegrandsandaconjectureofsverak |