J. Dolbeault, M.J. Esteban, M. Loss, G. Tarantello On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities (406K, Postscript) ABSTRACT. In this paper we prove some new symmetry results for the extremals of the Caffarelli-Kohn-Nirenberg inequalities, in any dimension larger or equal than 2.