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Existence and multiplicity of solutions involving the $p(x)$-Laplacian equations : on the effect of two nonlocal terms
ID
Hamdani, Mohamed Karim
(
Author
),
ID
Mbarki, Lamine
(
Author
),
ID
Allaoui, Mostafa
(
Author
),
ID
Darhouche, Omar
(
Author
),
ID
Repovš, Dušan
(
Author
)
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https://www.aimsciences.org/article/doi/10.3934/dcdss.2022129
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Abstract
We study a class of $p(x)$-Kirchhoff problems which is seldom studied because the nonlinearity has nonstandard growth and contains a bi-nonlocal term. Based on variational methods, especially the Mountain pass theorem and Ekeland's variational principle, we obtain the existence of two nontrivial solutions for the problem under certain assumptions. We also apply the Symmetric mountain pass theorem and Clarke's theorem to establish the existence of infinitely many solutions. Our results generalize and extend several existing results.
Language:
English
Keywords:
p(x)-Laplacian operator
,
variational methods
,
Kirchhoff problem
,
bi-nonlocal term
,
Ambrosetti-Rabinowitz condition
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
PEF - Faculty of Education
FMF - Faculty of Mathematics and Physics
Publication status:
Published
Publication version:
Version of Record
Year:
2023
Number of pages:
Str. 1452-1467
Numbering:
Vol. 16, no. 6
PID:
20.500.12556/RUL-146300-326aaeea-7989-830d-ef04-3608f442c807
UDC:
517.956
ISSN on article:
1937-1632
DOI:
10.3934/dcdss.2022129
COBISS.SI-ID:
111490051
Copyright:
Založnikova različica članka je v RUL shranjena v skladu z založnikovo pogodbo z avtorji. (Datum opombe: 24. 5. 2023)
Publication date in RUL:
23.05.2023
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470
Downloads:
32
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Record is a part of a journal
Title:
Discrete and continuous dynamical systems. Series S
Shortened title:
Discret. contin. dyn. syst., Ser. S
Publisher:
American Institute of Mathematical Sciences
ISSN:
1937-1632
COBISS.SI-ID:
16098905
Projects
Funder:
Other - Other funder or multiple funders
Funding programme:
Tunisia, Military Research Center for Science and Technology Laboratory
Project number:
LR19DN01
Funder:
ARRS - Slovenian Research Agency
Project number:
P1-0292
Name:
Topologija in njena uporaba
Funder:
ARRS - Slovenian Research Agency
Project number:
N1-0114
Name:
Algebrajski odtisi geometrijskih značilnosti v homologiji
Funder:
ARRS - Slovenian Research Agency
Project number:
N1-0083
Name:
Forsing, fuzija in kombinatorika odprtih pokritij
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