A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition

Jiayin Liu; Shijin Zhang; Yuan Zhou

doi:10.1016/j.jfa.2024.110394

A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition

Jiayin Liu^*
, Shijin Zhang
, Yuan Zhou

^*此作品的通讯作者

数学科学学院

University of Jyväskylä
Beijing Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We build up a quantitative second-order Sobolev estimate of ln⁡w for positive p-harmonic functions w in Riemannian manifolds under Ricci curvature bounded from below and also for positive weighted p-harmonic functions w in weighted manifolds under the Bakry-Émery curvature-dimension condition.

源语言	英语
文章编号	110394
期刊	Journal of Functional Analysis
卷	286
期	10
DOI	https://doi.org/10.1016/j.jfa.2024.110394
出版状态	已出版 - 15 5月 2024

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10.1016/j.jfa.2024.110394

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@article{44aa61a7dded4075ab9e367112d559e8,

title = "A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition",

abstract = "We build up a quantitative second-order Sobolev estimate of ln⁡w for positive p-harmonic functions w in Riemannian manifolds under Ricci curvature bounded from below and also for positive weighted p-harmonic functions w in weighted manifolds under the Bakry-{\'E}mery curvature-dimension condition.",

keywords = "Curvature-dimension condition, Hessian estimate, p-harmonic functions",

author = "Jiayin Liu and Shijin Zhang and Yuan Zhou",

note = "Publisher Copyright: {\textcopyright} 2024 The Author(s)",

year = "2024",

month = may,

day = "15",

doi = "10.1016/j.jfa.2024.110394",

language = "英语",

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T1 - A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition

AU - Liu, Jiayin

AU - Zhang, Shijin

AU - Zhou, Yuan

PY - 2024/5/15

Y1 - 2024/5/15

N2 - We build up a quantitative second-order Sobolev estimate of ln⁡w for positive p-harmonic functions w in Riemannian manifolds under Ricci curvature bounded from below and also for positive weighted p-harmonic functions w in weighted manifolds under the Bakry-Émery curvature-dimension condition.

AB - We build up a quantitative second-order Sobolev estimate of ln⁡w for positive p-harmonic functions w in Riemannian manifolds under Ricci curvature bounded from below and also for positive weighted p-harmonic functions w in weighted manifolds under the Bakry-Émery curvature-dimension condition.

KW - Curvature-dimension condition

KW - Hessian estimate

KW - p-harmonic functions

UR - https://www.scopus.com/pages/publications/85188244517

U2 - 10.1016/j.jfa.2024.110394

DO - 10.1016/j.jfa.2024.110394

M3 - 文章

AN - SCOPUS:85188244517

SN - 0022-1236

VL - 286

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 10

M1 - 110394

ER -

A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition

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