no. 2
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.

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
Mots clés : variations, differential inclusions, necessary conditions 
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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. http://www.numdam.org/articles/10.1051/cocv:2007017/

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