On the variable exponential fractional sobolev space ws(·),p(·)

Haikun Liu; Yongqiang Fu

doi:10.3934/math.2020403

On the variable exponential fractional sobolev space w^s(·),p(·)

Haikun Liu
, Yongqiang Fu^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

4 Scopus citations

Abstract

In this paper a new kind of variable exponential fractional Sobolev spaces is introduced. For this kind of spaces, some basic properties, such as separability, reflexivity, strict convexity and denseness, are established. At last as an application the existence of solutions for so called s(·)-p(·)-Laplacian equations is discussed.

Original language	English
Pages (from-to)	6261-6276
Number of pages	16
Journal	AIMS Mathematics
Volume	5
Issue number	6
DOIs	https://doi.org/10.3934/math.2020403
State	Published - 2020

Keywords

Fractional
Sobolev space
Variable exponent

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10.3934/math.2020403

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title = "On the variable exponential fractional sobolev space ws(·),p(·)",

abstract = "In this paper a new kind of variable exponential fractional Sobolev spaces is introduced. For this kind of spaces, some basic properties, such as separability, reflexivity, strict convexity and denseness, are established. At last as an application the existence of solutions for so called s(·)-p(·)-Laplacian equations is discussed.",

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AU - Fu, Yongqiang

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AB - In this paper a new kind of variable exponential fractional Sobolev spaces is introduced. For this kind of spaces, some basic properties, such as separability, reflexivity, strict convexity and denseness, are established. At last as an application the existence of solutions for so called s(·)-p(·)-Laplacian equations is discussed.

KW - Fractional

KW - Sobolev space

KW - Variable exponent

UR - https://www.scopus.com/pages/publications/85090604467

U2 - 10.3934/math.2020403

DO - 10.3934/math.2020403

M3 - 文章

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SN - 2473-6988

VL - 5

SP - 6261

EP - 6276

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 6

ER -

On the variable exponential fractional sobolev space w^s(·),p(·)

Abstract

Keywords

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