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Critical Points on Closed Convex Sets vs. Critical Points and Applications
Journal of convex analysis, Tome 22 (2015) no. 4, pp. 1107-1124
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The existence of multiple critical points for a locally Lipschitz continuous functional Φ on a closed convex subset C of a Banach space X is investigated. The problem of finding extra conditions under which critical points for Φ on C turn out to be critical on X is also addressed. Two applications concerning elliptic variational-hemivariational inequalities are then worked out.
Classification : 58E05, 49J40, 49J52
Mots-clés : Multiple critical points, functional defined on closed convex set, Schauder invariance condition, elliptic variational-hemivariational inequality 
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     author = {S. A. Marano and S. J. N. Mosconi},
     title = {Critical {Points} on {Closed} {Convex} {Sets} vs. {Critical} {Points} and {Applications}},
     journal = {Journal of convex analysis},
     pages = {1107--1124},
     year = {2015},
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S. A. Marano; S. J. N. Mosconi. Critical Points on Closed Convex Sets vs. Critical Points and Applications. Journal of convex analysis, Tome 22 (2015) no. 4, pp. 1107-1124. http://geodesic.mathdoc.fr/item/JCA_2015_22_4_JCA_2015_22_4_a10/