An approximation theorem for sequences of linear strains and its applications
School of Mathematical Sciences, University of Sussex
Brighton, BN1 9QH, UK; email@example.com.
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