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<p>In this paper, we introduce a new Kirchhoff-Boussinesq equation, where the operator is a perturbation of the biharmonic operator combined with another term that allows the incorporation of a wide class of equations. The proposed equation is motivated by various physical phenomena, including resonant wave interactions, biophysics, plasma physics, chemical reaction design, and the modeling of suspension bridges. We establish several existence and multiplicity results, including the critical case, using a variational approach that necessitates a careful selection of appropriate function spaces.</p>

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Existence and Multiplicity of Solutions for p &q Kirchhoff-Boussinesq Equations

  • 期刊论文

  • 发表日期：

    2025年7月7日

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  • L. Tavares,
  • R. Carlos,
  • S. Salirrosas

摘要

In this paper, we introduce a new Kirchhoff-Boussinesq equation, where the operator is a perturbation of the biharmonic operator combined with another term that allows the incorporation of a wide class of equations. The proposed equation is motivated by various physical phenomena, including resonant wave interactions, biophysics, plasma physics, chemical reaction design, and the modeling of suspension bridges. We establish several existence and multiplicity results, including the critical case, using a variational approach that necessitates a careful selection of appropriate function spaces.