  We study an interacting Bose gas at T=0 under isotropic harmonic confinement
within Density Functional Theory in the Local Density approximation. The energy
density functional, which spans the whole range of positive scattering lengths
up to the unitary regime (infinite scattering length), is obtained by fitting
the recently calculated Monte Carlo bulk equation of state [Phys. Rev. A 89,
041602(R) (2014)]. We compare the density profiles of the trapped gas with
those obtained by MC calculations. We solve the time-dependent Density
Functional equation to study the effect of increasing values of the interaction
strength on the frequencies of monopole and quadrupole oscillations of the
trapped gas. We find that the monopole breathing mode shows a non-monotonous
behavior as a function of the scattering length. We also consider the damping
effect of three-body losses on such modes.
