Geodesic
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

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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
Keywords: linear strains, maximal function, approximate sequences, quasiconvex envelope, quasiconvex hull 
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     author = {Zhang, Kewei},
     title = {An approximation theorem for sequences of linear strains and its applications},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {224--242},
     publisher = {EDP-Sciences},
     volume = {10},
     number = {2},
     year = {2004},
     doi = {10.1051/cocv:2004001},
     mrnumber = {2083485},
     zbl = {1085.49017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004001/}
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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

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