Abstract
AbstractWe 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 $A(x)$
A
(
x
)
and of a multivalued perturbation $F(t,x,y)$
F
(
t
,
x
,
y
)
which can be convex or nonconvex valued. We consider the cases where $D(A)\neq \mathbb{R}^{N}$
D
(
A
)
≠
R
N
and $D(A)= \mathbb{R}^{N}$
D
(
A
)
=
R
N
and prove existence and relaxation theorems. Applications to differential variational inequalities and control systems are discussed.
Funder
Università degli Studi di Palermo
Publisher
Springer Science and Business Media LLC
Cited by
3 articles.
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