Renormalized solutions for the fractional p(x)-Laplacian equation with L1 data

Chao Zhang; Xia Zhang

doi:10.1016/j.na.2019.111610

Renormalized solutions for the fractional p(x)-Laplacian equation with L¹ data

Chao Zhang
, Xia Zhang^*

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology

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

48 Scopus citations

Abstract

We consider the fractional p(x)-Laplacian problem with L¹ data. Based on the approximation and energy methods, we prove the existence and uniqueness of nonnegative renormalized solutions for such problems.

Original language	English
Article number	111610
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	190
DOIs	https://doi.org/10.1016/j.na.2019.111610
State	Published - Jan 2020
Externally published	Yes

Keywords

Fractional p(x)-Laplacian
Renormalized solutions
Variable exponent Sobolev fractional space

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10.1016/j.na.2019.111610

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title = "Renormalized solutions for the fractional p(x)-Laplacian equation with L1 data",

abstract = "We consider the fractional p(x)-Laplacian problem with L1 data. Based on the approximation and energy methods, we prove the existence and uniqueness of nonnegative renormalized solutions for such problems.",

keywords = "Fractional p(x)-Laplacian, Renormalized solutions, Variable exponent Sobolev fractional space",

author = "Chao Zhang and Xia Zhang",

note = "Publisher Copyright: {\textcopyright} 2019",

year = "2020",

month = jan,

doi = "10.1016/j.na.2019.111610",

language = "英语",

volume = "190",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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T1 - Renormalized solutions for the fractional p(x)-Laplacian equation with L1 data

AU - Zhang, Chao

AU - Zhang, Xia

PY - 2020/1

Y1 - 2020/1

N2 - We consider the fractional p(x)-Laplacian problem with L1 data. Based on the approximation and energy methods, we prove the existence and uniqueness of nonnegative renormalized solutions for such problems.

AB - We consider the fractional p(x)-Laplacian problem with L1 data. Based on the approximation and energy methods, we prove the existence and uniqueness of nonnegative renormalized solutions for such problems.

KW - Fractional p(x)-Laplacian

KW - Renormalized solutions

KW - Variable exponent Sobolev fractional space

UR - https://www.scopus.com/pages/publications/85071403157

U2 - 10.1016/j.na.2019.111610

DO - 10.1016/j.na.2019.111610

M3 - 文章

AN - SCOPUS:85071403157

SN - 0362-546X

VL - 190

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

M1 - 111610

ER -

Renormalized solutions for the fractional p(x)-Laplacian equation with L¹ data

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Keywords

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