2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69220In this paper, by the use of Potential Theory, some representation results for multivariate functions from the Sobolev spaces in terms of the double layer potential and the fundamental solution of Laplace's equation are pointed out. Applications for multivariate inequalities of Ostrowski type are also provided.Analysis of PDEsClassical Analysis and ODEs26B15, 26B20, 26D15, 26D10text