关键词: 双调和方程；正整解；相对紧；不动点定理；连续映照.

Abstract:

In the paper, the author's aims are to establish the theorems of existence of po sitive radial symmetric entire solutions for a class of singular semilinear biha rmonic equations, to present the properties of the solutions,  and to extend the result of paper ［7］.

Key words: Biharmonic equation, Positive entire solution; , Relative , com pactness, Fixed , point , theomrem； Continuous mapping.