E. Yanagida recently proved that the classical Matukuma equation with a given exponent has only one finite mass solution. We show how similar ideas can be exploited to obtain uniqueness results for other classes of equations as well as Matukuma equations with more general coefficients.
& Li, Y.
(1992). Uniqueness of Radial Solutions of Semilinear Elliptic Equations. Transactions of the American Mathematical Society, 333 (1), 339-363.