Multiple solutions for a fractional laplacian system involving critical sobolev-hardy exponents and homogeneous term

Jinguo Zhang; Tsing San Hsu

doi:10.3846/mma.2020.7704

Multiple solutions for a fractional laplacian system involving critical sobolev-hardy exponents and homogeneous term

Jinguo Zhang^*
, Tsing San Hsu

^*Corresponding author for this work

Center for General Education

Jiangxi Normal University

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

2 Scopus citations

Abstract

In this paper, we deal with a class of fractional Laplacian system with critical Sobolev-Hardy exponents and sign-changing weight functions in a bounded domain. By exploiting the Nehari manifold and variational methods, some new existence and multiplicity results are obtain.

Original language	English
Pages (from-to)	1-20
Number of pages	20
Journal	Mathematical Modelling and Analysis
Volume	25
Issue number	1
DOIs	https://doi.org/10.3846/mma.2020.7704
State	Published - 13 01 2020

Bibliographical note

Publisher Copyright:
© 2020 The Author(s).

Keywords

Critical Sobolev-Hardy exponent
Fractional Laplacian system
Homogeneous term
Nehari manifold

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10.3846/mma.2020.7704

Cite this

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title = "Multiple solutions for a fractional laplacian system involving critical sobolev-hardy exponents and homogeneous term",

abstract = "In this paper, we deal with a class of fractional Laplacian system with critical Sobolev-Hardy exponents and sign-changing weight functions in a bounded domain. By exploiting the Nehari manifold and variational methods, some new existence and multiplicity results are obtain.",

keywords = "Critical Sobolev-Hardy exponent, Fractional Laplacian system, Homogeneous term, Nehari manifold",

author = "Jinguo Zhang and Hsu, \{Tsing San\}",

note = "Publisher Copyright: {\textcopyright} 2020 The Author(s).",

year = "2020",

month = jan,

day = "13",

doi = "10.3846/mma.2020.7704",

language = "英语",

volume = "25",

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T1 - Multiple solutions for a fractional laplacian system involving critical sobolev-hardy exponents and homogeneous term

AU - Zhang, Jinguo

AU - Hsu, Tsing San

PY - 2020/1/13

Y1 - 2020/1/13

N2 - In this paper, we deal with a class of fractional Laplacian system with critical Sobolev-Hardy exponents and sign-changing weight functions in a bounded domain. By exploiting the Nehari manifold and variational methods, some new existence and multiplicity results are obtain.

AB - In this paper, we deal with a class of fractional Laplacian system with critical Sobolev-Hardy exponents and sign-changing weight functions in a bounded domain. By exploiting the Nehari manifold and variational methods, some new existence and multiplicity results are obtain.

KW - Critical Sobolev-Hardy exponent

KW - Fractional Laplacian system

KW - Homogeneous term

KW - Nehari manifold

UR - https://www.scopus.com/pages/publications/85078477859

U2 - 10.3846/mma.2020.7704

DO - 10.3846/mma.2020.7704

M3 - 文章

AN - SCOPUS:85078477859

SN - 1392-6292

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SP - 1

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JO - Mathematical Modelling and Analysis

JF - Mathematical Modelling and Analysis

IS - 1

ER -

Multiple solutions for a fractional laplacian system involving critical sobolev-hardy exponents and homogeneous term

Abstract

Bibliographical note

Keywords

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