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  • Variational approach for th...
    Alsaedi, Ramzi; Ghanmi, Abdeljabbar

    Mathematical methods in the applied sciences, 30 May 2023, Letnik: 46, Številka: 8
    Journal Article

    This work aims to develop the variational framework for some Kirchhoff problems involving both the p$$ p $$‐Laplace operator and the ψ$$ \psi $$‐Hilfer derivative. Precisely, we use the mountain pass theorem to prove the existence of nontrivial solutions. Moreover, the multiplicity of solutions is proved by the use of the Z2$$ {Z}_2 $$‐symmetry mountain pass theorem. Our main results generalize the paper of Torres (J Fract Calculus Appli. 2014;5(1):1‐10) and the work of Sousa et al. (Comp Appl Math. 2019;38:4).