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Lagrange multipliers in variational inequalities for nonlinear operators of monotone type. (English) Zbl 1300.47081
The purpose of this paper is to treat variational inequalities including Lagrange multipliers, which are not necessarily subdifferentials of convex functions. The main results presented in this paper are applied to a very wide class of variational inequalities under various additional constraints, not only for the elliptic case, but also the parabolic case.

MSC:
47J20 Variational and other types of inequalities involving nonlinear operators (general)
35J87 Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators
47H05 Monotone operators and generalizations
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