Given a regular bounded domain Ω⊂R2m, we describe the
limiting behavior of sequences of solutions to the mean field equation of order
2m, m≥1, (−Δ)mu=ρ∫Ωe2mudxe2muinΩ, under the Dirichlet boundary condition and
the bound 0<ρ≤C. We emphasize the connection with the problem of
prescribing the Q-curvature.Comment: 21 page