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  • Existence and multiplicity of solutions involving the ▫$p(x)$▫-Laplacian equations: On the effect of two nonlocal terms
    Hamdani, Mohamed Karim ...
    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.
    Source: Discrete and continuous dynamical systems. Series S. - ISSN 1937-1632 (Vol. 16, no. 6, June 2023, str. 1452-1467)
    Type of material - article, component part ; adult, serious
    Publish date - 2023
    Language - english
    COBISS.SI-ID - 111490051