Geodesic
On least supersolutions for a~problem with an obstacle
Izvestiya. Mathematics , Tome 7 (1973) no. 5, pp. 1153-1183.

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The existence of a least supersolution on a closed convex set of functions is proved for certain classes of quasilinear elliptic and parabolic equations. Such a least supersolution is a solution of a variational inequality. 
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A. A. Arkhipova. On least supersolutions for a~problem with an obstacle. Izvestiya. Mathematics , Tome 7 (1973) no. 5, pp. 1153-1183. http://geodesic.mathdoc.fr/item/IM2_1973_7_5_a8/

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