Preprint 60/2006

Tartar’s conjecture and localization of the quasiconvex hull in 2×2

Daniel Faraco and László Székelyhidi

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Submission date: 06. Jul. 2006
Pages: 32
published in: Acta mathematica, 200 (2008) 2, p. 279-305 
DOI number (of the published article): 10.1007/s11511-008-0028-1
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We give a concrete and surprisingly simple characterization of compact sets formula12 for which families of approximate solutions to the inclusion problem formula14 are compact. In particular our condition is algebraic and can be tested algorithmically. We also prove that the quasiconvex hull of compact sets of formula16 matrices can be localized. This is false for compact sets in higher dimensions in general.

18.10.2019, 02:13