Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)The nonlinear elliptic problem -Delta u = logu + h(x)u(p) in a ball B(R) subset of R(n) with Neumann boundary conditions partial derivative(nu)u = 0 on partial derivative B(R) were Studied. By means of a double perturbation argument, we obtain a positive radial solution u is an element of C(2)((B) over bar (R)\{0}) boolean AND C((B) over bar (R)). (C) 2008 Elsevier Ltd. All rights reserved.70416561662Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FAPESP [04/04651-7]