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arXiv · 1408.6789

Wiener criterion for X-elliptic operators

Giulio Tralli·Francesco Uguzzoni
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Abstract

In this note we prove a Wiener criterion of regularity of boundary points for the Dirichlet problem related to $X$-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.

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Giulio Tralli, Francesco Uguzzoni. 2014-08-28. Wiener criterion for X-elliptic operators. https://arxiv.org/abs/1408.6789

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