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 Formula: see text where Formula: see text is a bounded smooth domain, Formula: see text, Formula: see text, Formula: see text is a small parameter. By Lyapunov–Schmidt procedure, under suitable assumptions on the Robin function related to Formula: see text, we construct the multi-peak solutions which blow-up and concentrate in different points of Formula: see text as Formula: see text goes to Formula: see text.