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On quasi-variational inequalities with discontinuous multivalued lower order terms given by bifunctions. (English) Zbl 1363.58011
The paper studies a class of quasi-variational inequalities with the leading term expressed by a second-order elliptic operator of Leray-Lions type and with discontinuous multivalued lower-order term and a convex function. The treated problem can be formulated equivalently as an inclusion. The existence of solutions is obtained through the method of sub-supersolutions.

58E35 Variational inequalities (global problems) in infinite-dimensional spaces
47J20 Variational and other types of inequalities involving nonlinear operators (general)
47J25 Iterative procedures involving nonlinear operators
35J87 Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators