On p-harmonic measures in half-spaces

Jose Gonzalez Llorente, Juan J. Manfredi, William C. Troy, Jang Mei Wu

Research output: Contribution to journalArticleResearch

1 Citation (Scopus)

Abstract

© 2019, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature. 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
Pages (from-to)1381-1405
Number of pages25
JournalAnnali di Matematica Pura ed Applicata
Volume198
Issue number4
DOIs
Publication statusPublished - 1 Aug 2019

Keywords

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

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