Critical Points on Closed Convex Sets vs. Critical Points and Applications

摘要

The existence of multiple critical points for a locally Lipschitz continuous functional 43 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.