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381092

On a class of nonlocal elliptic systems of ðp; qÞ-Kirchhoff type

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Last updated: 05 Jan 2025

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Abstract

In this paper, we establish the existence of at least three solutions for the following nonlocal elliptic system of ðp; qÞ-Kirchhoff type  M1
R
X jruj
p
dx     p1
Dpu ¼ kFuðx; u; vÞ þ lGuðx; u; vÞ
in X;  M2
R
X jrvj
q
dx     q1
Dqv ¼ kFvðx; u; vÞ þ lGvðx; u; vÞ in X; u ¼ v ¼ 0 on @X. Our technical
approach is based on the three critical points theorem of Ricceri.

DOI

10.1016/j.joems.2014.01.007

Keywords

Multiple solutions, Three critical points theorem, Kirchhoff type system

Authors

First Name

Mohammed

Last Name

Massar

MiddleName

-

Affiliation

University Mohamed I, Faculty of Sciences, Department of Mathematics, Oujda, Morocco

Email

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City

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Orcid

-

First Name

Mohamed

Last Name

Talbi

MiddleName

-

Affiliation

CRMEF, Oujda, Morocco

Email

-

City

-

Orcid

-

Volume

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-22

Publish Date

2015-04-01

Page Start

37

Page End

41

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 1_Pages 37-41.pdf

PDF . 457.4kB

Link

https://joems.journals.ekb.eg/article_381092.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381092

Order

381,092

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

On a class of nonlocal elliptic systems of ðp; qÞ-Kirchhoff type

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Type

Article

Created At

21 Dec 2024