Abstract and Applied Analysis
Volume 4 (1999), Issue 3, Pages 141-152
doi:10.1155/S1085337599000111
On the degree theory for densely defined mappings of class (S+)L
Juha Berkovits
Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, Oulu FIN-90401, Finland
Abstract
We introduce a new construction of topological degree for densely defined mappings of monotone type. We also study the structure of the classes of mappings involved. Using the basic properties of the degree, we prove some abstract existence results that can be applied to elliptic problems.