Critical points of non-smooth functions with a weak compactness condition |
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| Authors: | Salvatore A. Marano Dumitru Motreanu |
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| Affiliation: | a Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria 6, 95125 Catania, Italy
b Département de Mathématiques, Université de Perpignan, Avenue de Villeneuve 52, 66860 Perpignan Cedex, France |
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| Abstract: | In the framework of non-differentiable functionals expressed as a locally Lipschitz continuous term plus a convex, proper, lower semi-continuous function, a critical point result is established under a new weak Palais-Smale hypothesis, which contains the so-called Cerami condition. Some meaningful special cases are then pointed out. |
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| Keywords: | Critical points Non-smooth functions Weak Palais-Smale condition |
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