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 [GRAPHICS] where Omega is a bounded domain in R-N, N = 1, 2, 3, with a smooth boundary partial derivative Omega, a > 0, b > 0 and g is an element of C 0 (Omega x R, R). By using variational approach and some subtle analytical skills, the existence of the least energy sign-changing solutions of (K-b) 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 (K-b).