| Issue |
ESAIM: COCV
Volume 10, Number 2, April 2004
|
|
|---|---|---|
| Page(s) | 224 - 242 | |
| DOI | https://doi.org/10.1051/cocv:2004001 | |
| Published online | 15 March 2004 | |
An approximation theorem for sequences of linear strains and its applications
School of Mathematical Sciences, University of Sussex
Brighton, BN1 9QH, UK; k.zhang@sussex.ac.uk.
Received:
4
July
2002
Revised:
22
September
2003
We establish an approximation theorem for a sequence of linear elastic strains approaching a compact set in L1 by the sequence of linear strains of mapping bounded in Sobolev space W1,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.
Mathematics Subject Classification: 26B25 / 41A30 / 49J45
Key words: Linear strains / maximal function / approximate sequences / quasiconvex envelope / quasiconvex hull.
© EDP Sciences, SMAI, 2004
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