We establish an approximation theorem for a sequence of linear elastic strains approaching a compact set in by the sequence of linear strains of mapping bounded in Sobolev space . 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.
Keywords: linear strains, maximal function, approximate sequences, quasiconvex envelope, quasiconvex hull
@article{COCV_2004__10_2_224_0, 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://archive.numdam.org/articles/10.1051/cocv:2004001/} }
TY - JOUR AU - Zhang, Kewei TI - An approximation theorem for sequences of linear strains and its applications JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2004 SP - 224 EP - 242 VL - 10 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv:2004001/ DO - 10.1051/cocv:2004001 LA - en ID - COCV_2004__10_2_224_0 ER -
%0 Journal Article %A Zhang, Kewei %T An approximation theorem for sequences of linear strains and its applications %J ESAIM: Control, Optimisation and Calculus of Variations %D 2004 %P 224-242 %V 10 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv:2004001/ %R 10.1051/cocv:2004001 %G en %F COCV_2004__10_2_224_0
Zhang, Kewei. An approximation theorem for sequences of linear strains and its applications. ESAIM: Control, Optimisation and Calculus of Variations, Volume 10 (2004) no. 2, pp. 224-242. doi : 10.1051/cocv:2004001. http://archive.numdam.org/articles/10.1051/cocv:2004001/
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