  We prove the stability of the Einstein-scalar field Lichnerowicz equation
under subcritical perturbations of the critical nonlinearity in dimensions 3, 4
and 5. As a consequence, we obtain the existence of a second solution to the
equation in several cases. In particular, in the positive case, including the
CMC positive cosmological constant case, we show that each time a solution
exists, the equation produces a second solution with the exception of one
critical value for which the solution is unique.
