Geodesic
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

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We propose a necessary and sufficient condition about the existence of variations, i.e., of non trivial solutions η∈W 0 1,∞ (Ω) to the differential inclusion ∇η(x)∈-∇u(x)+𝐃.

DOI : 10.1051/cocv:2007017
Classification : 49K10, 35F30
Keywords: variations, differential inclusions, necessary conditions 
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     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/}
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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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