DEGREE THEORY FOR SET-VALUED OPERATORS OF MONOTONE TYPE IN REFLEXIVE BANACH SPACES

Abstract

We are concerned with degree theory for some classes of upper demicontinuous set-valued operators of monotone type with weakly compact convex values in reflexive separable Banach spaces. As extensions of the celebrated Leray-Schauder degree, the basic idea is to use an elliptic super-regularization method by means of suitable compact embeddings due to Browder and Ton.