2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165003We show that every vector lattice homomorphism $T$ between Sobolev spaces can be represented by a composition and a multiplication, that is, $T$ is of the form $Tu(x)=u(h(x))g(x)$ for quasi every/almost every $x$ and all $u$.25 pagesAnalysis of PDEsFunctional Analysis47B38; 47B65text