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 language | English |
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Pages (from-to) | 1381-1405 |
Number of pages | 25 |
Journal | Annali di Matematica Pura ed Applicata |
Volume | 198 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Aug 2019 |
Keywords
- EQUATIONS
- Shooting method
- p-Harmonic measure
- p-Laplacian