School of Mathematical Sciences, University of Sussex Brighton, BN1 9QH, UK; firstname.lastname@example.org.
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.
(Received July 4 2002)
(Revised September 22 2003)
(Online publication March 15 2004)
Mathematics Subject Classification: