CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES

Abstract

In this paper, we construct an integer-valued degree function in a suitable classes of mappings of monotone type, using a complementary system formed of Generalized Sobolev Spaces in which the variable exponent p in P(log)(Omega) satisfy 1 < p'- < p'+ < + ifinity, where Omega is in RN is open and bounded.This kind of spaces are not refexives