| In this paper, by using the fixed point theory and the technique of super/sub-solutions,we study the existence for positive solutions of the following problemhere UR = {x∈R~n : |x| > R} with R > 0 and n≥3, f is locally H(o|¨)lder continuous inU_R×R and g∈C~1([0, +∞), R), and obtain some new existence results. |