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

Producció científica: Contribució a revista › Article › Recerca

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© 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).

Idioma original	Anglès
Pàgines (de-a)	1381-1405
Nombre de pàgines	25
Revista	Annali di Matematica Pura ed Applicata
Volum	198
Número	4
DOIs	https://doi.org/10.1007/s10231-018-00822-9
Estat de la publicació	Publicada - 1 d’ag. 2019

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10.1007/s10231-018-00822-9

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Aspectos probabilísticos y geométricos de la teoría de funciones
Nicolau Nos, A. (Investigador/a principal), Gonzalez Llorente, J. (Co-Investigador/a Principal), Arroyo Garcia, A. R. (Col.laborador/a), Donaire Benito, J. J. (Investigador/a), González Fuentes, M. J. (Investigador/a), Levi , M. (Investigador/a), Soler Gibert, O. (Col.laborador/a), Limani, A. (Col.laborador/a) & Macia Medina, V. J. (Col.laborador/a)
Ministerio de Economía y Competitividad (MINECO), Fons Europeu de Desenvolupament Regional (FEDER), Ministerio de Ciencia e Innovación (MICINN)
1/01/18 → 30/09/22
Projecte: Projectes i Ajuts a la Recerca

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title = "On p-harmonic measures in half-spaces",

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).",

keywords = "EQUATIONS, Shooting method, p-Harmonic measure, p-Laplacian",

author = "\{Gonzalez Llorente\}, Jose and Manfredi, \{Juan J.\} and Troy, \{William C.\} and Wu, \{Jang Mei\}",

year = "2019",

month = aug,

day = "1",

doi = "10.1007/s10231-018-00822-9",

language = "English",

volume = "198",

pages = "1381--1405",

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TY - JOUR

T1 - On p-harmonic measures in half-spaces

AU - Gonzalez Llorente, Jose

AU - Manfredi, Juan J.

AU - Troy, William C.

AU - Wu, Jang Mei

PY - 2019/8/1

Y1 - 2019/8/1

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).

KW - EQUATIONS

KW - Shooting method

KW - p-Harmonic measure

KW - p-Laplacian

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

UR - https://www.scopus.com/pages/publications/85060197275

U2 - 10.1007/s10231-018-00822-9

DO - 10.1007/s10231-018-00822-9

M3 - Article

SN - 0373-3114

VL - 198

SP - 1381

EP - 1405

JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

IS - 4

ER -

On p-harmonic measures in half-spaces

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