A result on a class of elliptic equations involving Kirchhoff type nonlocal term. (15th January 2017) - Liu, Jiu
Abstract: In the paper, we consider the following elliptic equations involving Kirchhoff type nonlocal term (0.1) − ( a + b ∫ R 3 | ∇ u | 2 d x ) △ u + V ( x ) u = f ( u ), x ∈ R 3, in which a ≥ 0, b > 0, the nonlinear term f satisfies the Berestycki–Lions conditions. Under some assumptions on V, we obtained equation Eq.(0.1) has at least a solution.