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We propose a necessary and sufficient condition about the existence of variations, i.e., of non trivial solutions to the differential inclusion .
@article{COCV_2007__13_2_331_0,
author = {Bertone, Simone and Cellina, Arrigo},
title = {On the existence of variations, possibly with pointwise gradient constraints},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {331--342},
publisher = {EDP-Sciences},
volume = {13},
number = {2},
year = {2007},
doi = {10.1051/cocv:2007017},
mrnumber = {2306639},
zbl = {1124.49012},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007017/}
}
TY - JOUR AU - Bertone, Simone AU - Cellina, Arrigo TI - On the existence of variations, possibly with pointwise gradient constraints JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2007 SP - 331 EP - 342 VL - 13 IS - 2 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007017/ DO - 10.1051/cocv:2007017 LA - en ID - COCV_2007__13_2_331_0 ER -
%0 Journal Article %A Bertone, Simone %A Cellina, Arrigo %T On the existence of variations, possibly with pointwise gradient constraints %J ESAIM: Control, Optimisation and Calculus of Variations %D 2007 %P 331-342 %V 13 %N 2 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007017/ %R 10.1051/cocv:2007017 %G en %F COCV_2007__13_2_331_0
Bertone, Simone; Cellina, Arrigo. On the existence of variations, possibly with pointwise gradient constraints. ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 2, pp. 331-342. doi: 10.1051/cocv:2007017
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