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We study the integral representation of relaxed functionals in the multi-dimensional calculus of variations, for integrands which are finite in a convex bounded set with nonempty interior and infinite elsewhere.
@article{COCV_2010__16_1_37_0,
author = {Anza Hafsa, Omar},
title = {On the integral representation of relaxed functionals with convex bounded constraints},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {37--57},
publisher = {EDP-Sciences},
volume = {16},
number = {1},
year = {2010},
doi = {10.1051/cocv:2008063},
mrnumber = {2598087},
zbl = {1183.49014},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008063/}
}
TY - JOUR AU - Anza Hafsa, Omar TI - On the integral representation of relaxed functionals with convex bounded constraints JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2010 SP - 37 EP - 57 VL - 16 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008063/ DO - 10.1051/cocv:2008063 LA - en ID - COCV_2010__16_1_37_0 ER -
%0 Journal Article %A Anza Hafsa, Omar %T On the integral representation of relaxed functionals with convex bounded constraints %J ESAIM: Control, Optimisation and Calculus of Variations %D 2010 %P 37-57 %V 16 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008063/ %R 10.1051/cocv:2008063 %G en %F COCV_2010__16_1_37_0
Anza Hafsa, Omar. On the integral representation of relaxed functionals with convex bounded constraints. ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 1, pp. 37-57. doi: 10.1051/cocv:2008063
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