Boundary Harnack principle on uniform domains
Probability
2026-04-21 v2 Analysis of PDEs
Abstract
We present a proof of scale-invariant boundary Harnack principle for uniform domains when the underlying space satisfies a scale-invariant elliptic Harnack inequality. Our approach does not assume the underlying space to be geodesic. Additionally, the existence of Green functions is also not assumed beforehand and is ensured by a recent result from M. T. Barlow, Z.-Q. Chen and M. Murugan.
Cite
@article{arxiv.2402.03571,
title = {Boundary Harnack principle on uniform domains},
author = {Aobo Chen},
journal= {arXiv preprint arXiv:2402.03571},
year = {2026}
}
Comments
31 pages