Topological degree and application to a parabolic variational inequality problem

Abstract

We are interested in constructing a topological degree for operators of the form F=L+A+S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with respect to the domain of L. By means of this topological degree we prove an existence result that will be applied to give a new formulation of a parabolic variational inequality problem.