We consider the following classical autonomous variational problem
Mots clés : nonconvex variational problems, autonomous variational problems, existence of minimizers, Dubois-Reymond necessary condition, relaxation
@article{COCV_2011__17_1_222_0, author = {Cupini, Giovanni and Marcelli, Cristina}, title = {Monotonicity properties of minimizers and relaxation for autonomous variational problems}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {222--242}, publisher = {EDP-Sciences}, volume = {17}, number = {1}, year = {2011}, doi = {10.1051/cocv/2010001}, mrnumber = {2775194}, zbl = {1213.49028}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv/2010001/} }
TY - JOUR AU - Cupini, Giovanni AU - Marcelli, Cristina TI - Monotonicity properties of minimizers and relaxation for autonomous variational problems JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2011 SP - 222 EP - 242 VL - 17 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2010001/ DO - 10.1051/cocv/2010001 LA - en ID - COCV_2011__17_1_222_0 ER -
%0 Journal Article %A Cupini, Giovanni %A Marcelli, Cristina %T Monotonicity properties of minimizers and relaxation for autonomous variational problems %J ESAIM: Control, Optimisation and Calculus of Variations %D 2011 %P 222-242 %V 17 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2010001/ %R 10.1051/cocv/2010001 %G en %F COCV_2011__17_1_222_0
Cupini, Giovanni; Marcelli, Cristina. Monotonicity properties of minimizers and relaxation for autonomous variational problems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 17 (2011) no. 1, pp. 222-242. doi : 10.1051/cocv/2010001. http://www.numdam.org/articles/10.1051/cocv/2010001/
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