constructed in the paper [1] directly preceding. There is some evidence that U(r) i s u p to trivial t ransformat ionsthe only solution of (1) with an isolated singularity. We have as yet no proof for that assertion, even in the symmetric case considered in [-1]. Our intention in the present work is to show that any symmetric solution u(r) with a (non-removable) isolated singularity at r=O is asymptotic to U(r) as r-*O. Precisely, we intend to prove: Theorem 1. Let u(r) be a solution of ( r " l u r ~ = ~ / r ( n 1 ) u r "-1 (2)