This article is cited in 3 papers

On least supersolutions for a problem with an obstacle

A. A. Arkhipova


Abstract: 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.

UDC: 517.9

MSC: Primary 35J60, 35J20, 35K55; Secondary 35D05, 35J25, 35K20

Received: 16.05.1972

 English version: Mathematics of the USSR-Izvestiya, 1973, 7:5, 1153–1183

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