The square-gradient density functional theory has been used to study the bulk pressure and normal/tangential components of the local pressure tensor at several chemical potential values in a small droplet without and with a completely wettable solid core and a flat liquid thin film on a solid substrate. The Lennard-Jones fluid with the Carnahan-Starling model for the hard-sphere contribution to intermolecular interactions and mean-field attraction contribution have been used to describe the condensate. The interaction between the solid spherical core (and flat substrate) molecules and the condensate molecules has been taken to be stronger than the condensate-condensate interaction. The inhomogeinity within the curved liquid film on a solid core (and within a liquid film on flat substrate) has been found to be an effect of the interaction (or overlapping) of the interfacial layers of the solid-liquid and liquid-vapor interfaces. The disjoining pressure for a flat liquid thin film on a solid substrate in the undersaturated vapor has been computed for various film thicknesses as the difference between bulk values of the pressures for vapor and liquid phases. This disjoining pressure has been compared with that of small droplets condensed on solid cores found through the thermodynamic and mechanical routes for a range of values of the droplet and core sizes. The disjoining pressure was smaller for a curved film and was dependent on the solid core size.