title: Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems.
abstract: 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].
authors.affiliation: School of Mathematics and Statistics, Qujing Normal University, Qujing, 655011 Yunnan People's Republic of China ; School of Mathematics and Statistics, Central South University, Changsha, 410083 Hunan People's Republic of China.
authors.forename: Bitao
authors.initials: B
authors.lastname: Cheng
keywords: Kirchhoff-type problem; Least energy sign-changing solutions; Variational approach