Existence and nonexistence results for a class of nonlinear, singular Sturm-Liouville equations

Abstract

We study the existence and nonexistence of solutions for a class of equations of the form $-(\omega u')'=|u|^{p-2}u$ in $\mathbb R$ where $p>2$ and $\omega$ is a nonnegative continuous function with isolated zeroes of power type.