, Volume 37, Issue 2, pp 245-261
Date: 05 Aug 2006

Some remarks on nonsmooth critical point theory

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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.