  A natural, "perturbative", problem in the modelization of the fractional
quantum Hall effect is to minimize a classical energy functional within a
variational set based on Laughlin's wave-function. We prove that, for small
enough pair interactions, and asymptotically for large particle numbers, a
minimizer can always be looked for in the particular form of uncorrelated
quasi-holes superimposed to Laughlin's wave-function.
