Marano, Salvatore A.; Mosconi, Sunra J. N. Critical points on closed convex sets vs. critical points and applications. (English) Zbl 1334.49052 J. Convex Anal. 22, No. 4, 1107-1124 (2015). Summary: The existence of multiple critical points for a locally Lipschitz continuous functional \(\Phi\) on a closed convex subset \(C\) of a Banach space \(X\) is investigated. The problem of finding extra conditions under which critical points for \(\Phi\) on \(C\) turn out to be critical on \(X\) is also addressed. Two applications concerning elliptic variational-hemivariational inequalities are then worked out. Cited in 2 Documents MSC: 49J52 Nonsmooth analysis 49J40 Variational inequalities Keywords:locally Lipschitz continuous functional; multiple critical points; generalized subdifferential; closed convex sets; Schauder invariance condition; elliptic variational-hemivariational inequality PDFBibTeX XMLCite \textit{S. A. Marano} and \textit{S. J. N. Mosconi}, J. Convex Anal. 22, No. 4, 1107--1124 (2016; Zbl 1334.49052) Full Text: Link