Method of producing a multilayer article forming an axisymmetric body, said article comprising at least a base of diameter D joined to a side wall of average thickness T and of height H said method consisting in feeding a coextruded multilayer charge into the cavity of a mold then in compressing said charge in order to form the article, the charge forming a body axisymmetric about an axis of symmetry, the charge consisting of a radial stack of several layers of which at least one is a thin functional layer, the outer diameter of said charge being approximately equal to D, the direction of compression being parallel to the axis of symmetry of said charge, and the compression being carried out on one face of the charge, which method is characterized by the fact that the charge is compressed only on one portion of said face.