Abstract
This paper is concerned with the existence and multiplicity of solutions for a class of nonlocal fourth-order \((p(x),q(x))\)-Kirchhoff systems. By means of a variational analysis, we obtain conditions for the existence of infinitely many solutions with high (resp., low) energies. The arguments combine related critical point theory arguments with a careful analysis of the energy levels.
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V. Rădulescu acknowledges the support through Grant CNCS PCE-47/2011.
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Afrouzi, G.A., Mirzapour, M. & Rădulescu, V.D. Nonlocal fourth-order Kirchhoff systems with variable growth: low and high energy solutions. Collect. Math. 67, 207–223 (2016). https://doi.org/10.1007/s13348-014-0131-x
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DOI: https://doi.org/10.1007/s13348-014-0131-x