TY - JOUR
A2 - Gopal, Dhananjay
AU - Ru, Yuanfang
AU - Wang, Fanglei
AU - Wang, Yunhai
AU - An, Tianqing
PY - 2018
DA - 2018/01/02
TI - On Fourth-Order Elliptic Equations of Kirchhoff Type with Dependence on the Gradient and the Laplacian
SP - 9857038
VL - 2018
AB - We consider a nonlocal fourth-order elliptic equation of Kirchhoff type with dependence on the gradient and Laplacian Δ2u-a+b∫Ω∇u2dxΔu=fx,u,∇u,Δu, in Ω, u=0, Δu=0, on ∂Ω, where a, b are positive constants. We will show that there exists b⁎>0 such that the problem has a nontrivial solution for 0<b<b⁎ through an iterative method based on the mountain pass lemma and truncation method developed by De Figueiredo et al., 2004.
SN - 2314-8896
UR - https://doi.org/10.1155/2018/9857038
DO - 10.1155/2018/9857038
JF - Journal of Function Spaces
PB - Hindawi
KW -
ER -