TY - JOUR A2 - Bonanno, Gabriele AU - Li, Xingping AU - He, Xiumei PY - 2015 DA - 2015/12/13 TI - Multiple Sign-Changing Solutions for Kirchhoff-Type Equations SP - 985986 VL - 2015 AB - We study the following Kirchhoff-type equations -a+bΩu2dxΔu+Vxu=fx,u, in Ω, u=0, in Ω, where Ω is a bounded smooth domain of RN(N=1,2,3), a>0, b0, fC(Ω¯×R,R), and VC(Ω¯,R). Under some suitable conditions, we prove that the equation has three solutions of mountain pass type: one positive, one negative, and sign-changing. Furthermore, if f is odd with respect to its second variable, this problem has infinitely many sign-changing solutions. SN - 1026-0226 UR - https://doi.org/10.1155/2015/985986 DO - 10.1155/2015/985986 JF - Discrete Dynamics in Nature and Society PB - Hindawi Publishing Corporation KW - ER -