Abstract
Let be a real reflexive Banach space with dual
. Let
be densely defined linear maximal monotone. Let
be maximal monotone with
and
and
bounded, demicontinuous and of type
w.r.t.
. An invariance of domain result is established for the sum
. An eigenvalue problem of the type
is also solved, where
is now maximal monotone and strongly quasibounded with
and
is like
above. The recent topological degree theory of the authors is used, utilizing the graph norm topology on
along with the methodology of Berkovits and Mustonen and recent invariance of domain and eigenvalue results by Kartsatos and Skrypnik. The results are original even in the case
Possible applications to time-dependent problems are also included.
AMS Subject Classifications: