Abstract
Many problems in physics and in other applications cannot be formulated as equations but have some more complicated structure, usually of a so-called complementarity problem. From the abstract viewpoint, the equations are replaced by inclusions involving set-valued mappings. We confine ourselves to a rather simple case (but still having wide applications) which involves set-valued mappings whose “set-valued part” can be described as a subdifferential of a convex but nonsmooth potential. Recall that we consider, if not said otherwise, V reflexive.KeywordsWeak SolutionVariational InequalityFree BoundaryComplementarity ProblemMaximal MonotoneThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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