On p-harmonic measures in half-spaces

José G. Llorente, Juan J. Manfredi, William C. Troy, Jang-Mei Gloria Wu

Research output: Contribution to journalArticlepeer-review


For all 1 < p< ∞ and N≥ 2 we prove by using ODE shooting techniques that there is a constant α(p, N) > 0 such that the p-harmonic measure in R+N of a ball of radius 0 < δ≤ 1 in RN - 1 is bounded above and below by a constant times δα ( p . N ). We provide explicit estimates for the exponent α(p, N).

Original languageEnglish (US)
Pages (from-to)1381-1405
Number of pages25
JournalAnnali di Matematica Pura ed Applicata
Issue number4
StatePublished - Aug 1 2019


  • p-Harmonic measure
  • p-Laplacian
  • Shooting method

ASJC Scopus subject areas

  • Applied Mathematics


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