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

Leuyacc Y.R.S.; Carlos R.D.; Salirrosas S.M.A. · Mathematische Nachrichten (2026) · DOI: 10.1002/mana.70225

Resumen

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

Instituciones: Universidad Nacional Mayor de San Marcos