- Journal of Universal Mathematics
- Volume:1 Issue:2
- CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES
CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES
Authors : Mustapha AİT HAMMOU, Elhoussine AZROUL
Pages : 116-129
View : 43 | Download : 8
Publication Date : 2018-07-31
Article Type : Research Paper
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 Pinsert ignore into journalissuearticles values(log);insert ignore into journalissuearticles values(Omega); satisfy 1 < p`- < p`+ < + ifinity, where Omega is in RN is open and bounded. This kind of spaces are not refexivesKeywords : Primary Topological degree, Generalized Sobolev spaces, Secondary Complementary system
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