Wiener criterion for X-elliptic operators
Analysis of PDEs
2014-08-29 v1
Abstract
In this note we prove a Wiener criterion of regularity of boundary points for the Dirichlet problem related to -elliptic operators in divergence form enjoying the doubling condition and the Poincar\'e inequality. As a step towards this result, we exhibit some other characterizations of regularity in terms of the capacitary potentials. Finally, we also show that a cone-type criterion holds true in our setting.
Keywords
Cite
@article{arxiv.1408.6789,
title = {Wiener criterion for X-elliptic operators},
author = {Giulio Tralli and Francesco Uguzzoni},
journal= {arXiv preprint arXiv:1408.6789},
year = {2014}
}