2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65681This article discusses several matters related to Sobolev, Poincare, and isoperimetric inequalities in various settings.submitted to the volume associated to the trimestre "Heat kernels, random walks, and analysis on manifolds and graphs" at the Centre Emile Borel, Institut Henri Poincare, Spring, 2002Classical Analysis and ODEstext