What question did this study set out to answer?

The aim is to establish the existence and multiplicity of solutions to critical Kirchhoff–Boussinesq equations in RN.

Some existence results for a class of the critical Kirchhoff–Boussinesq equations in ℝ N

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The aim is to establish the existence and multiplicity of solutions to critical Kirchhoff–Boussinesq equations in RN.
Utilized concentration-compactness principles and variational methods.
Explored the behavior of solutions as the parameter κ varies.
Addressed scenarios with critical nonlinearity and biharmonic operators.
Demonstrated multiple solutions exist for the equations under study.
Showed unique features of the combination of biharmonic, p-Laplacian, and critical nonlinearity.
Filled gaps in previous literature regarding existence results in the full space RN.

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Demonstrates multiple solutions for critical Kirchhoff–Boussinesq equations in higher dimensions, highlighting variational methods' applications.

Gao et al. (2026) studied this question.

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Demonstrates multiple solutions for critical Kirchhoff–Boussinesq equations in higher dimensions, highlighting variational methods' applications.