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+b∫Ω∇u2dxΔu+Vxu=fx,u, in Ω, u=0, in ∂Ω, where Ω is a bounded smooth domain of RN (N=1,2,3), a>0, b≥0, f∈C(Ω¯×R,R), and V∈C(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 -