Asymptotic behavior of positive harmonic functions in certain unbounded domains

Published 9 Nov 2012 in math.AP and math.CV | (1211.2214v2)

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

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