It was predicted that condensation in the Earth's atmosphere occurs at very
low vapor supersaturations due to the presence of submicron hydrophilic aerosols, on which stable and critical droplets can form. Recently, with the use of the squared-gradient density functional theory (DFT), we found stable droplets and bubbles around solid lyophilic and, respectively, lyophobic particles. Such droplets and bubbles corresponded to the local minima of the system grand potential. This work aims to validate these results within more rigorous fundamental measure DFT.