$C^{1+α}$ regularity for fractional $p$-harmonic functions

We establish interior $C^{1,α}$ regularity estimates for some $α> 0$, for solutions of the fractional $p$-Laplace equation $(-Δ_p)^s u = 0$ when $p$ is in the range $p \in [2,2/(1-s))$.

Publication Details

Journal
ArXiv.org
Published
2025-09-30
Primary Topic
Hearing Impairment and Communication
Type
article
Field-Weighted Citation Impact
0.00

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article

$C^{1+α}$ regularity for fractional $p$-harmonic functions

ArXiv.org
Hearing Impairment and Communication
article

$C^{1+α}$ regularity for fractional $p$-harmonic functions

article en

Abstract

We establish interior $C^{1,α}$ regularity estimates for some $α> 0$, for solutions of the fractional $p$-Laplace equation $(-Δ_p)^s u = 0$ when $p$ is in the range $p \in [2,2/(1-s))$.

ArXiv.org
National Science Foundation, University of Chicago, Istituto Nazionale di Alta Matematica "Francesco Severi", Università di Bologna
Openalex Percentile: Top 41%
Hearing Impairment and Communication
Open Access PDFOpenAlex
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$C^{1+α}$ regularity for fractional $p$-harmonic functions · ArXiv.org (2025) | TGRS Research Map | TGRS