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Variational inequalities of strongly nonlinear elliptic operators of infinite order. (English) Zbl 0829.35149

Summary: The present paper deals with the study of the solvability of variational inequalities for strongly nonlinear elliptic operators of infinite order with liberal growth on the coefficients.

MSC:

35R50 PDEs of infinite order
35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
35G30 Boundary value problems for nonlinear higher-order PDEs
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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