Abstract: By constructing a suitable cone and applying the fixed point theorem of cone expansion and compression type, the existence of positive radial solution is studied for a class of singular elliptic Dirichlet boundary value problems, where the nonlinear term may be singular. Main results show that the existence of positive radial solution depends only upon the properties of nonlinear term on a bounded subset of its domain, and the existence is independent of the properties of nonlinear term outside this set.

Key words: Nonlinear elliptic equation, Dirichlet boundary value problem, Positive radial solution, Existence.