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arXiv · 1211.2214

Asymptotic behavior of positive harmonic functions in certain unbounded domains

Koushik Ramachandran
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Abstract

We derive asymptotic estimates at infinity for positive harmonic functions in a large class of non-smooth unbounded domains. These include domains whose sections, after rescaling, resemble a Lipschitz cylinder or a Lipschitz cone, e.g., various paraboloids and horns.

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Koushik Ramachandran. 2012-12-11. Asymptotic behavior of positive harmonic functions in certain unbounded domains. https://arxiv.org/abs/1211.2214

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