Variational and Perron–Wiener solutions in stratified Lie groups
Beatrice Abbondanza · Mathematische Nachrichten · 2015
We consider sub‐Laplacians in stratified Lie groups and we compare Perron–Wiener and weak‐variational solutions of the Dirichlet problem , where Ω is a bounded open set in and φ is the restriction to the boundary of a function such that . The result we obtained extends a previous theorem by Arendt and Daners, related to the classial Laplacian in .