This chapter is devoted to solve the equilibrium problem of a linearly elastic isotropic half-space, subject to a load concentrated at an interior point. The two-dimensional version is named after Ernst Melan (1890–1963), who solved it in 1932; the three-dimensional version was studied and solved in 1936 by Raymond D. Mindlin (1906–1987), who returned to it some years later. We concentrate of the case of paramount interest in geomechanics, when the load is directed orthogonally to the boundary plane.