Geodesic
A geometric maximum principle for variational problems in spaces of vector valued functions of bounded variation
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 41, Tome 385 (2010), pp. 5-17 
M. Bildhauer; M. Fuchs. A geometric maximum principle for variational problems in spaces of vector valued functions of bounded variation. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 41, Tome 385 (2010), pp. 5-17. http://geodesic.mathdoc.fr/item/ZNSL_2010_385_a0/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We discuss variational integrals with density having linear growth on spaces of vector valued $BV$-functions and prove $\operatorname{Im}(u)\subset K$ for minimizers $u$ provided that the boundary data take their values in the closed convex set $K$ assuming in addition that the integrand satisfies natural structure conditions. Bibl. 14 titles.

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