DOI: 10.1002/mana.70225 ISSN: 0025-584X

Ground‐State Solutions for a Singular Elliptic Kirchhoff–Boussinesq Equation in R4

Yony R. S. Leuyacc, Romulo D. Carlos, Segundo M. A. Salirrosas
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ABSTRACT

This work investigates the existence of nontrivial ground‐state solutions for singular elliptic Kirchhoff–Boussinesq equations: where , , represents the biharmonic operator, is the ‐Laplacian operator, possesses critical exponential growth, and is a coercive potential. The solutions are obtained using Adams' singular inequality and variational methods, particularly through the Nehari manifold.

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