Quasiconvexity equals rank-one convexity for isotropic sets of 2 x 2 matrices
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1637 | |
dc.contributor.author | Heinz, Sebastian | |
dc.date.accessioned | 2016-03-24T17:38:41Z | |
dc.date.available | 2019-06-28T08:06:24Z | |
dc.date.issued | 2011 | |
dc.description.abstract | Let K be a given compact set of real 2x2 matrices that is isotropic, meaning invariant under the left and right action of the special orthogonal group. Then we show that the quasiconvex hull of K coincides with the rank-one convex hull (and even with the lamination convex hull of order 2). In particular, there is no difference between quasiconvexity and rank-one convexity for K. This is a generalization of a known result for connected sets. | |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.uri | https://doi.org/10.34657/3054 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2404 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.subject.ddc | 510 | |
dc.subject.other | Quasiconvexity | eng |
dc.subject.other | rank-one convexity | eng |
dc.subject.other | lamination convexity | eng |
dc.subject.other | isotropy | eng |
dc.title | Quasiconvexity equals rank-one convexity for isotropic sets of 2 x 2 matrices | |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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