On p-harmonic measures in half-spaces

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

doi:10.1007/s10231-018-00822-9

On p-harmonic measures in half-spaces

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

Research output: Contribution to journal › Article › Research

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 language	English
Pages (from-to)	1381-1405
Number of pages	25
Journal	Annali di Matematica Pura ed Applicata
Volume	198
Issue number	4
DOIs	https://doi.org/10.1007/s10231-018-00822-9
Publication status	Published - 1 Aug 2019

Keywords

EQUATIONS
Shooting method
p-Harmonic measure
p-Laplacian

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10.1007/s10231-018-00822-9

http://www.mendeley.com/research/pharmonic-measures-halfspaces

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abstract = "{\textcopyright} 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).",

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AU - Troy, William C.

AU - Wu, Jang Mei

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N2 - © 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).

AB - © 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).

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KW - p-Laplacian

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