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.

Critical points on closed convex sets vs. critical points and applications

MARANO, Salvatore Angelo;Mosconi S. J. N.
2015

Abstract

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.
Multiple critical points; Schauder invariance condition; functional defined on a closed convex set
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/41969
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