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.
Livrea, R., Bisci, G. (2007). Some remarks on nonsmooth critical point theory. JOURNAL OF GLOBAL OPTIMIZATION, 37(2), 245-261 [10.1007/s10898-006-9047-7].
Some remarks on nonsmooth critical point theory
Livrea, Roberto;
2007-01-01
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.File | Dimensione | Formato | |
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