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arXiv · 2402.03571

Boundary Harnack principle on uniform domains

Aobo Chen
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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.

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Aobo Chen. 2024-02-05. Boundary Harnack principle on uniform domains. https://doi.org/10.1007/s11118-024-10154-4

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