Asymptotic behavior of positive harmonic functions in certain unbounded   domains
  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. 
Koushik Ramachandran
math.AP math.CV