Some remarks on nonsmooth critical point theory
- Autori: Livrea, R.; Bisci, G.
- Anno di pubblicazione: 2007
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Critical points for nonsmooth functions; Elliptic variational-hemivariational inequalities; Nonsmooth Cerami condition; Problem at risonance;
- OA Link: http://hdl.handle.net/10447/258486
Abstract
A general min-max principle established by Ghoussoub is extended to the case of functionals f which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function, when f satisfies a compactness condition weaker than the Palais-Smale one, i.e., the so-called Cerami condition. Moreover, an application to a class of elliptic variational-hemivariational inequalities in the resonant case is presented. © Springer Science+Business Media B.V. 2007.