Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems

In this paper, we consider the existence of least energy sign-changing solutions for a class of Kirchhoff-type problem [Formula: see text] where [Formula: see text] is a bounded domain in [Formula: see text] , [Formula: see text] , with a smooth boundary [Formula: see text] , [Formula: see text] and [Formula: see text] . By using variational approach and some subtle analytical skills, the existence of the least energy sign-changing solutions of [Formula: see text] is obtained successfully. Moreover, we prove that the energy of any sign-changing solutions is larger than twice that of the ground state solutions of [Formula: see text] .