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Existence of solutions for unilateral problems with measure on \(L^1\) data. (Italian) Zbl 0922.35062

Summary: We introduce new and more general formulations of variational inequalities involving multivalued operators and measures or \(L^1\) data. Then we give some existence theorems for the stated problems.

MSC:

35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
35R05 PDEs with low regular coefficients and/or low regular data
35J65 Nonlinear boundary value problems for linear elliptic equations
49J40 Variational inequalities