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On one-sided problems with convex constraints upon the gradient. (Russian) Zbl 0509.35041
Tr. Semin. S.L. Soboleva 2, 78-85 (1981).

35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
35J20 Variational methods for second-order elliptic equations
35D10 Regularity of generalized solutions of PDE (MSC2000)
35D05 Existence of generalized solutions of PDE (MSC2000)
35J25 Boundary value problems for second-order elliptic equations
49J40 Variational inequalities
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems