A Class of Kirchhoff‐Boussinesq Equations Involving Logarithmic and Critical Growth

ABSTRACT This paper is concerned with the existence of a ground state solution for the following class of elliptic Kirchhoff‐Boussinesq type problems given by, where with where is a bounded smooth domain in , , for and for , while is a positive function. We establish the existence of a ground state solution using variational methods. Moreover, we considered both the subcritical case, that is, , and the critical case, that is, .