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.
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].
File in questo prodotto:
File Dimensione Formato  
JOGO2007.pdf

Solo gestori archvio

Dimensione 241.17 kB
Formato Adobe PDF
241.17 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/258486
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact