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A weak nonsmooth Palais-Smale condition and coercivity. (English) Zbl 1225.49021

Summary: We show that a generally nonsmooth locally Lipschitz function which satisfies the nonsmooth \(C\)-condition (nonsmooth Cerami condition) and is bounded from below, is coercive. The Cerami condition is a weak form of the well-known Palais-Smale condition, which suffices to prove minimax principles.

MSC:

49J52 Nonsmooth analysis
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