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.

Keywords: relaxation, convex constraints, integral representation

@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://archive.numdam.org/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://archive.numdam.org/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://archive.numdam.org/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, Volume 16 (2010) no. 1, pp. 37-57. doi : 10.1051/cocv:2008063. http://archive.numdam.org/articles/10.1051/cocv:2008063/

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