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Keywords:
maximal monotone operator; pseudomonotone operator; Hartman condition; convex and nonconvex problems; extremal solutions; strong relaxation
maximal monotone operator; pseudomonotone operator; Hartman condition; convex and nonconvex problems; extremal solutions; strong relaxation
Summary:
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.
References:
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