Preprint 60/2006
Tartar’s conjecture and localization of the quasiconvex hull in ℝ2×2
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
Bibtex
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Abstract:
We give a concrete and surprisingly simple characterization of compact sets 
for which families of approximate solutions to the
inclusion problem 
are compact. In particular our condition is algebraic and
can be tested algorithmically.
We also prove that the quasiconvex hull of compact sets
of 
matrices can be localized. This is false for
compact sets in higher dimensions in general.