Wilkin-Smith, Nigel2015-12-070022-247Xhttp://hdl.handle.net/1885/19376We implement variational techniques and an implicit function theorem to derive constraints on angular velocity under which we may verify the existence, boundary regularity, and stability of an energy-minimising family of rotating liquid drops in a neighbourhood of the closed unit ball in Rn + 1.Keywords: Energy minimisation; Rotating drops; Stability200710.1016/j.jmaa.2006.10.0512015-12-07