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An approximation theorem for sequences of linear strains and its applications

Published online by Cambridge University Press:  15 March 2004

Kewei Zhang
Kewei Zhang*
Affiliation:
School of Mathematical Sciences, University of Sussex Brighton, BN1 9QH, UK; [email protected].
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Abstract

We establish an approximation theorem for a sequence oflinear elastic strains approaching a compact set in L 1 by thesequence of linear strains of mapping bounded in Sobolev space W 1,p . We apply this result to establish equalities forsemiconvex envelopes for functions defined on linear strains via a construction of quasiconvex functions with linear growth.

Keywords

Linear strainsmaximal functionapproximate sequencesquasiconvex envelopequasiconvex hull.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 10 , Issue 2 , April 2004 , pp. 224 - 242
Copyright
© EDP Sciences, SMAI, 2004

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