Abstract
In this paper 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.
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Kourogenis, N.C., Papageorgiou, N.S. A weak nonsmooth palais-smale condition and coercivity. Rend. Circ. Mat. Palermo 49, 521–526 (2000). https://doi.org/10.1007/BF02904262
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DOI: https://doi.org/10.1007/BF02904262