Geodesic
Extremal solutions and strong relaxation for second order multivalued boundary value problems
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 827-844.

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In this paper we study semilinear second order differential inclusions involving a multivalued maximal monotone operator. Using notions and techniques from the nonlinear operator theory and from multivalued analysis, we obtain “extremal” solutions and we prove a strong relaxation theorem.
Classification : 34A60, 34B15
Keywords: maximal monotone operator; pseudomonotone operator; Hartman condition; convex and nonconvex problems; extremal solutions; strong relaxation 
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     author = {Gasi\'nski, Leszek and Papageorgiou, Nikolaos S.},
     title = {Extremal solutions and strong relaxation for second order multivalued boundary value problems},
     journal = {Czechoslovak Mathematical Journal},
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     zbl = {1081.34012},
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Gasiński, Leszek; Papageorgiou, Nikolaos S. Extremal solutions and strong relaxation for second order multivalued boundary value problems. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 827-844. http://geodesic.mathdoc.fr/item/CMJ_2005__55_4_a1/