We have complemented observations of the millimeter spectra (90 and 230 GHz
) of a complete sample of Southern flat-spectrum active galactic nuclei. We
discuss the overall shape of the radio spectrum of these sources and ident
ify two new gigahertz-peaked spectrum sources with unusually high peak freq
uencies (10-20 GHz). We also discuss the variability behavior in the millim
eter domain.