Multiple solutions for p(x)-Kirchhoff type problems with extended Robin boundary conditions

This article considers p(x)-Kirchhoff type problems with extended Robin boundary conditions. Using the mountain pass theorem, Ekeland's variational principle, and Krasnoselskii's genus theory, we prove the existence at least two, and infinitely many non-trivial weak solutions under some suitable conditions on the non-linearities. The main results improve and generalize the results introduced in [1]. For more information see https://ejde.math.txstate.edu/Volumes/2024/83/abstr.html

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Publication Details

Journal
Electronic Journal of Differential Equations
Published
2024-12-11
DOI
https://doi.org/10.58997/ejde.2024.83
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
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article

Multiple solutions for p(x)-Kirchhoff type problems with extended Robin boundary conditions

Najib Tsouli, Mohammed Filali, Houssam Baladi, Abdellatif Aglzim
Electronic Journal of Differential Equations
Spectral Theory in Mathematical Physics
article

Multiple solutions for p(x)-Kirchhoff type problems with extended Robin boundary conditions

Najib Tsouli, Mohammed Filali, Houssam Baladi, Abdellatif Aglzim
article en

Abstract

This article considers p(x)-Kirchhoff type problems with extended Robin boundary conditions. Using the mountain pass theorem, Ekeland's variational principle, and Krasnoselskii's genus theory, we prove the existence at least two, and infinitely many non-trivial weak solutions under some suitable conditions on the non-linearities. The main results improve and generalize the results introduced in [1]. For more information see https://ejde.math.txstate.edu/Volumes/2024/83/abstr.html

Electronic Journal of Differential EquationsVol. 2024(01-??)
Mohamed I University (MA)
Openalex Percentile: Top 62%
Spectral Theory in Mathematical Physics
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