2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66389We give some necessary conditions and sufficient conditions for the compactness of the embedding of Sobolev spaces $W^{1,p}(Ω,w) \to L^p(Ω,w),$ where $w$ is some weight on a domain $Ω\subset \Real^n$.14 pages, to appear in "Ricerche di Matematica"Functional Analysis46B50;46E35text