Communications on Pure and Applied Analysis   2016 年 15 卷 6 期

2016.11.01

In this paper, we study the following fourth-order elliptic equation with Kirchhoff-type where the constants a > 0; b = 0. By constraint variational method and quantitative deformation lemma, we obtain that the problem possesses one least energy sign-changing solution ub. Moreover, we also prove that the energy of ub is strictly larger than two times the ground state energy. Finally, we give a convergence property of ub when b as a parameter and b ??’ 0.