A differential inclusion : the case of an isotropic set
ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 1, pp. 122-138.

In this article we are interested in the following problem: to find a map u:Ω 2 that satisfies

DuEa.e.inΩu(x)=ϕ(x)xΩ
where Ω is an open set of 2 and E is a compact isotropic set of 2×2 . We will show an existence theorem under suitable hypotheses on ϕ.

DOI : 10.1051/cocv:2004035
Classification : 34A60, 35F30, 52A30
Mots clés : rank one convex hull, polyconvex hull, differential inclusion, isotropic set
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     title = {A differential inclusion : the case of an isotropic set},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {122--138},
     publisher = {EDP-Sciences},
     volume = {11},
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     year = {2005},
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Croce, Gisella. A differential inclusion : the case of an isotropic set. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 1, pp. 122-138. doi : 10.1051/cocv:2004035. http://www.numdam.org/articles/10.1051/cocv:2004035/

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