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Coercivity conditions and variational inequalities. (English) Zbl 0937.49003
Summary: Various coercivity conditions appear in the literature in order to guarantee solutions for the variational inequality problem. We show that these conditions are equivalent to each other and that they are not only sufficient, but also necessary for the set of solutions to be non-empty and bounded.
MSC:
49J40Variational methods including variational inequalities