Mohamed Karim Hamdani (Author), Lamine Mbarki (Author), Mostafa Allaoui (Author), Omar Darhouche (Author), Dušan Repovš (Author)

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.

Keywords

p(x)-Laplacian operator;variational methods;Kirchhoff problem;bi-nonlocal;Ambrosetti-Rabinowitz condition;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956
COBISS: 111490051 Link will open in a new window
ISSN: 1937-1632
Views: 895
Downloads: 143
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Other data

Type (COBISS): Article
Pages: str. 1452-1467
Volume: ǂVol. ǂ16
Issue: ǂno. ǂ6
Chronology: June 2023
DOI: 10.3934/dcdss.2022129
ID: 19014994