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

Year of publication

2024

Authors

Liu, Jiayin; Zhang, Shijin; Zhou, Yuan

Abstract

We build up a quantitative second-order Sobolev estimate of lnw 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.

Organizations and authors

University of Jyväskylä

Liu Jiayin

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Journal/Series

Journal of Functional Analysis

Publisher

Elsevier

Volume

286

Issue

Article number

110394

ISSN

0022-1236

Publication forum

60469

Publication forum level

Open access

Open access in the publisher’s service

Yes

Open access of publication channel

Partially open publication channel

Self-archived

Yes

Other information

Fields of science

Mathematics

Keywords

[object Object],[object Object]

Publication country

United States

Internationality of the publisher

International

Language

English

International co-publication

Yes

Co-publication with a company

DOI

10.1016/j.jfa.2024.110394

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes