Existence and non existence results for a class of nonlinear singular Sturm-Liouville equations

We study the existence and nonexistence of solutions for a class of equations of the form 12(\u3c9u\u2032)\u2032 = |u|^{p 122}u in R where p > 2 and \u3c9 is a nonnegative continuous function with isolated zeroes of power type