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.
|Numero di pagine||36|
|Rivista||Acta Applicandae Mathematicae|
|Stato di pubblicazione||Published - 2021|
All Science Journal Classification (ASJC) codes