Geodesic
Multivarifolds and classical multidimensional Plateau problems
Izvestiya. Mathematics , Tome 17 (1981) no. 2, pp. 271-298.

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In this paper the author works out a theory of geometric measures – so-called multivarifolds – which are dimensionally homogeneous analogues of de Rham currents and their various manifestations, and which effectively mirror nonhomogeneous films, together with their geometric and topological properties. As an application the classical (multidimensional) Plateau problems are stated and solved. Bibliography: 17 titles. 
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Dào Trong Thi. Multivarifolds and classical multidimensional Plateau problems. Izvestiya. Mathematics , Tome 17 (1981) no. 2, pp. 271-298. http://geodesic.mathdoc.fr/item/IM2_1981_17_2_a2/

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