Asymptotic behavior of A-harmonic functions and p-extremal length

Seok Woo Kim, Sang Moon Lee, Yong Hah Lee

Research output: Contribution to journalArticlepeer-review


We describe the asymptotic behavior of functions of the Royden p-algebra in terms of p-extremal length. We also prove that each bounded A-harmonic function with finite energy on a complete Riemannian manifold is uniquely determined by the behavior of the function along p-almost every curve.

Original languageEnglish
Pages (from-to)423-432
Number of pages10
JournalBulletin of the Korean Mathematical Society
Issue number2
StatePublished - 2010


  • A-harmonic function
  • Comparison principle
  • Maximum principle
  • p-almost every curve
  • p-extremal length
  • p-harmonic boundary


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