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- Title
Existence and Relaxation Results for Second Order Multivalued Systems.
- Authors
Papageorgiou, Nikolaos S.; Vetro, Calogero
- Abstract
We consider nonlinear systems driven by a general nonhomogeneous differential operator with various types of boundary conditions and with a reaction in which we have the combined effects of a maximal monotone term A (x) and of a multivalued perturbation F (t , x , y) which can be convex or nonconvex valued. We consider the cases where D (A) ≠ R N and D (A) = R N and prove existence and relaxation theorems. Applications to differential variational inequalities and control systems are discussed.
- Publication
Acta Applicandae Mathematicae, 2021, Vol 173, Issue 1, p1
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-021-00410-9