# An approximation theorem for sequences of linear strains and its applications

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 10, Issue: 2, page 224-242
- ISSN: 1292-8119

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topZhang, Kewei. "An approximation theorem for sequences of linear strains and its applications." ESAIM: Control, Optimisation and Calculus of Variations 10.2 (2010): 224-242. <http://eudml.org/doc/90727>.

@article{Zhang2010,

abstract = {
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.
},

author = {Zhang, Kewei},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Linear strains; maximal function; approximate sequences; quasiconvex envelope; quasiconvex hull.; linear strains; quasiconvex hull},

language = {eng},

month = {3},

number = {2},

pages = {224-242},

publisher = {EDP Sciences},

title = {An approximation theorem for sequences of linear strains and its applications},

url = {http://eudml.org/doc/90727},

volume = {10},

year = {2010},

}

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

DA - 2010/3//

PB - EDP Sciences

VL - 10

IS - 2

SP - 224

EP - 242

AB -
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.

LA - eng

KW - Linear strains; maximal function; approximate sequences; quasiconvex envelope; quasiconvex hull.; linear strains; quasiconvex hull

UR - http://eudml.org/doc/90727

ER -

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