Abstract

Let Ω be a bounded smooth domain in R4 such that for some integer d ≥ 1 its d-th singular cohomology group with coefficients in some field is not zero, then problem{(Δ2 u - ρ4 k (x) eu = 0, in Ω,; u = Δ u = 0, on ∂ Ω,) has a solution blowing-up, as ρ → 0, at m points of Ω, for any given number m. © 2007 Elsevier Masson SAS. All rights reserved.