  We study scalar condensation in the background of asymptotically flat
spherically symmetric regular Dirichlet stars. We assume that the scalar field
decreases as the star surface is approached. Under these circumstances, we
prove a no hair theorem for neutral regular compact stars. We also extend the
discussion to charged regular compact stars and find an upper bound for the
charged star radius. Above the upper bound, the scalar hair cannot exist. Below
the upper bound, we numerically obtain solutions of scalar hairy charged stars.
