Multi-peak solutions to a biharmonic elliptic problem with non-power nonlinearity.

In this paper, we study the following biharmonic elliptic problem involving slightly subcritical non-power nonlinearity {Δ2u = |u|2∗−2u [ln(e+|u|)]휖inΩ,Δu = u = 0 on∂Ω, where Ω ⊂ ℝn is a bounded smooth domain, 2∗ = 2n n−4, n ≥ 5, 휖 > 0 is a small parameter. By Lyapunov–Schmidt procedure, under suitable assumptions on the Robin function related to Ω, we construct the multi-peak solutions which blow-up and concentrate in different points of Ω as 휖 goes to 0. [ABSTRACT FROM AUTHOR]