LAKEHAL, Hadjira2021-09-052021-09-052021http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/25343The theory of function spaces with variable exponents has rapidly made progress in the past 20 years, so in this memory our goal is to study some basic properties of anisotropic variable exponent Sobolev spaces.enAnisotropic, variable exponent, Sobolev space, embedding.Thesis