Existence of ground state solutions for a super-biquadratic Kirchhoff-type equation with steep potential well

Abstract

In this paper, we concern with the following Kirchhoff-type problemwhere are constants, is a parameter, is a nonnegative continuous potential, and is a subcritical growth nonlinearity. Under appropriate assumptions on and , we prove the existence of ground state solutions using variational methods. Furthermore, we also study the asymptotic behavior of ground state solutions.