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- ItemA variational inequality for the derivative of the scalar play operator(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2021) Brokate, Martin; Krejčí, PavelWe show that the directional derivative of the scalar play operator is the unique solution of a certain variational inequality. Due to the nature of the discontinuities involved, the variational inequality has an integral form based on the Kurzweil-Stieltjes integral.