Harnack inequality for the nonlocal equations with general growth

Yuzhou Fang; Chao Zhang

doi:10.1017/prm.2022.55

Harnack inequality for the nonlocal equations with general growth

School of Mathematics, Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We consider a class of generalized nonlocal -Laplacian equations. We find some proper structural conditions to establish a version of nonlocal Harnack inequalities of weak solutions to such nonlocal problems by using the expansion of positivity and energy estimates.

Original language	English
Pages (from-to)	1479-1502
Number of pages	24
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	153
Issue number	5
DOIs	https://doi.org/10.1017/prm.2022.55
State	Published - 23 Oct 2023
Externally published	Yes

Keywords

Expansion of positivity
Harnack inequality
fractional Orlicz-Sobolev space
general growth
nonlocal equations

Access to Document

10.1017/prm.2022.55

Cite this

@article{aa9930768d6e45d5876e068f2c545b39,

title = "Harnack inequality for the nonlocal equations with general growth",

abstract = "We consider a class of generalized nonlocal -Laplacian equations. We find some proper structural conditions to establish a version of nonlocal Harnack inequalities of weak solutions to such nonlocal problems by using the expansion of positivity and energy estimates.",

keywords = "Expansion of positivity, Harnack inequality, fractional Orlicz-Sobolev space, general growth, nonlocal equations",

author = "Yuzhou Fang and Chao Zhang",

note = "Publisher Copyright: Copyright {\textcopyright} The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh.",

year = "2023",

month = oct,

day = "23",

doi = "10.1017/prm.2022.55",

language = "英语",

volume = "153",

pages = "1479--1502",

journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",

issn = "0308-2105",

publisher = "Cambridge University Press",

number = "5",

}

TY - JOUR

T1 - Harnack inequality for the nonlocal equations with general growth

AU - Fang, Yuzhou

AU - Zhang, Chao

PY - 2023/10/23

Y1 - 2023/10/23

N2 - We consider a class of generalized nonlocal -Laplacian equations. We find some proper structural conditions to establish a version of nonlocal Harnack inequalities of weak solutions to such nonlocal problems by using the expansion of positivity and energy estimates.

AB - We consider a class of generalized nonlocal -Laplacian equations. We find some proper structural conditions to establish a version of nonlocal Harnack inequalities of weak solutions to such nonlocal problems by using the expansion of positivity and energy estimates.

KW - Expansion of positivity

KW - Harnack inequality

KW - fractional Orlicz-Sobolev space

KW - general growth

KW - nonlocal equations

UR - https://www.scopus.com/pages/publications/85152938198

U2 - 10.1017/prm.2022.55

DO - 10.1017/prm.2022.55

M3 - 文章

AN - SCOPUS:85152938198

SN - 0308-2105

VL - 153

SP - 1479

EP - 1502

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

IS - 5

ER -

Harnack inequality for the nonlocal equations with general growth

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this