Let Ω ⊂ Rn be an open bounded domain, f : Ω → Rn a VMO map, and T : D(T) ⊆ Rn → Rn a maximal monotone map with D(T) ∩ Ω ≠ ∅. We construct a degree for the sum of f + T, which can be viewed as a generalization of the degree both for VMO maps and maximal monotone maps.
@article{1374,
title = {Degree theory for the sum of VMO maps and maximal monotone maps},
journal = {CUBO, A Mathematical Journal},
volume = {13},
year = {2011},
language = {en},
url = {http://dml.mathdoc.fr/item/1374}
}
Chen, Yuqing; O’Regan, Donal; P. Agarwal, Ravi. Degree theory for the sum of VMO maps and maximal monotone maps. CUBO, A Mathematical Journal, Tome 13 (2011) . http://gdmltest.u-ga.fr/item/1374/