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Regularity results for evolutionary nonlinear variational and quasi-variational inequalities with applications to dynamic equilibrium problems. (English) Zbl 1149.49032
Summary: The aim of this paper is to obtain the continuity of solutions to time-dependent nonlinear variational and quasi-variational inequalities which express many dynamic equilibrium problems. To prove our results, we make use of Minty’s lemma and of the notion of the Mosco’s convergence.

MSC:
49N60 Regularity of solutions in optimal control
49J40 Variational inequalities
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