Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity

Yanbin Sang; Tsing San Hsu

doi:10.1007/s11868-021-00438-3

Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity

Yanbin Sang^*, Tsing San Hsu

^*Corresponding author for this work

Center for General Education

North University of China

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

Abstract

In this paper, we consider a fractional critical Kirchhoff-Choquard system involving singular nonlinearity and the parameter λ. By the decomposition of Nehari manifold, we prove that above system admits at least two nontrivial solutions when λ satisfies certain condition.

Original language	English
Article number	10
Journal	Journal of Pseudo-Differential Operators and Applications
Volume	13
Issue number	1
DOIs	https://doi.org/10.1007/s11868-021-00438-3
State	Published - 03 2022

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

Choquard equation
Fractional operator
Kirchhoff system
Singular term
Upper critical exponent

Access to Document

10.1007/s11868-021-00438-3

Cite this

@article{621f821e63e44e68977393df38a8914f,

title = "Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity",

abstract = "In this paper, we consider a fractional critical Kirchhoff-Choquard system involving singular nonlinearity and the parameter λ. By the decomposition of Nehari manifold, we prove that above system admits at least two nontrivial solutions when λ satisfies certain condition.",

keywords = "Choquard equation, Fractional operator, Kirchhoff system, Singular term, Upper critical exponent",

author = "Yanbin Sang and Hsu, \{Tsing San\}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2022",

month = mar,

doi = "10.1007/s11868-021-00438-3",

language = "英语",

volume = "13",

journal = "Journal of Pseudo-Differential Operators and Applications",

issn = "1662-9981",

publisher = "Birkhaeuser Verlag AG",

number = "1",

}

TY - JOUR

T1 - Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity

AU - Sang, Yanbin

AU - Hsu, Tsing San

PY - 2022/3

Y1 - 2022/3

N2 - In this paper, we consider a fractional critical Kirchhoff-Choquard system involving singular nonlinearity and the parameter λ. By the decomposition of Nehari manifold, we prove that above system admits at least two nontrivial solutions when λ satisfies certain condition.

AB - In this paper, we consider a fractional critical Kirchhoff-Choquard system involving singular nonlinearity and the parameter λ. By the decomposition of Nehari manifold, we prove that above system admits at least two nontrivial solutions when λ satisfies certain condition.

KW - Choquard equation

KW - Fractional operator

KW - Kirchhoff system

KW - Singular term

KW - Upper critical exponent

UR - https://www.scopus.com/pages/publications/85123069673

U2 - 10.1007/s11868-021-00438-3

DO - 10.1007/s11868-021-00438-3

M3 - 文章

AN - SCOPUS:85123069673

SN - 1662-9981

VL - 13

JO - Journal of Pseudo-Differential Operators and Applications

JF - Journal of Pseudo-Differential Operators and Applications

IS - 1

M1 - 10

ER -

Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this