Global Boundedness of Weak Solutions to Fractional Nonlocal Equations

Zhenjie Li; Lihe Wang; Chunqin Zhou

doi:10.3390/math13162612

Back

Global Boundedness of Weak Solutions to Fractional Nonlocal Equations

Journal article

Open access

Peer reviewed

Global Boundedness of Weak Solutions to Fractional Nonlocal Equations

Zhenjie Li, Lihe Wang and Chunqin Zhou

Mathematics (Basel), Vol.13(16), 2612

08/14/2025

DOI: 10.3390/math13162612

Files and links (1)

url

https://doi.org/10.3390/math13162612View

Published (Version of record) Open Access

Abstract

In this paper, we establish the global boundedness of weak solutions to fractional nonlocal equations using the fractional Moser iteration argument and some other ideas. Our results not only extend the boundedness result of Ros-Oton-Serra to general fractional nonlocal equations under a weaker assumption can but also be viewed as a generalization of the boundedness of weak solutions of second-order elliptic equations to nonlocal equations.

fractional nonlocal equations

fractional Sobolev inequality

Moser iterations

Details

Title: Subtitle: Global Boundedness of Weak Solutions to Fractional Nonlocal Equations
Creators: Zhenjie Li - Shanghai Jiao Tong University
Lihe Wang - University of Iowa
Chunqin Zhou - Shanghai Jiao Tong University
Resource Type: Journal article
Publication Details: Mathematics (Basel), Vol.13(16), 2612
DOI: 10.3390/math13162612
ISSN: 2227-7390
eISSN: 2227-7390
Publisher: MDPI
Grant note: NSFC: 12031012 NSFC Grant: 24ZR1440700 STCSM Grant
This research was funded by NSFC Grant 12031012 and STCSM Grant 24ZR1440700.
Language: English
Date published: 08/14/2025
Academic Unit: Mathematics
Record Identifier: 9984948116802771

Metrics

1 Record Views