Abstract
In this paper, we study a new class of mixed hemivariational- variational inequalities in which both the non-smooth convex functional and the non-smooth non-convex functional can depend on two arguments. We present solution existence and uniqueness results. Then, we apply the theoretical results on a mixed hemivariational-variational inequality in the study of a stationary incompressible flow of Bingham type fluid subject to non-smooth non-monotone slip boundary condition.
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