An approximation theorem for sequences of linear strains and its applications
ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 2, pp. 224-242.

We establish an approximation theorem for a sequence of linear elastic strains approaching a compact set in L 1 by the sequence of linear strains of mapping bounded in Sobolev space W 1,p . We apply this result to establish equalities for semiconvex envelopes for functions defined on linear strains via a construction of quasiconvex functions with linear growth.

DOI : 10.1051/cocv:2004001
Classification : 26B25, 41A30, 49J45
Mots-clés : linear strains, maximal function, approximate sequences, quasiconvex envelope, quasiconvex hull 
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Zhang, Kewei. An approximation theorem for sequences of linear strains and its applications. ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 2, pp. 224-242. doi : 10.1051/cocv:2004001. http://www.numdam.org/articles/10.1051/cocv:2004001/

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