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 |