Existence and Relaxation Results for Second Order Multivalued Systems
- Autori: Papageorgiou N.S.; Vetro C.
- Anno di pubblicazione: 2021
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/511576
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) ≠RN and D(A) = RN and prove existence and relaxation theorems. Applications to differential variational inequalities and control systems are discussed.