2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73512We prove Rellich and improved Rellich inequalities that involve the distance function from a hypersurface of codimension $k$, under a certain geometric assumption. In case the distance is taken from the boundary, that assumption is the convexity of the domain. We also discuss the best constant of these inequalities.15 pages. To appear in J. Comput. Appl. MathAnalysis of PDEsSpectral Theory35J20; 35P20On a class of Rellich inequalitiestext