%0 Journal Article %T Strictly positive solutions for one-dimensional nonlinear elliptic problems %A Uriel Kaufmann %A Ivan Medri %J Mathematics %D 2014 %I arXiv %X We study existence and nonexistence of strictly positive solutions for the elliptic problems of the form $Lu=m\left( x\right) u^{p}$ in a bounded open interval, with zero boundary conditions, where $L$ is a strongly uniformly elliptic differential operator, $p\in\left( 0,1\right) $, and $m$ is a function that changes sign. We also characterize the set of values $p$ for which the problem admits a solution, and in addition an existence result for other nonlinearities is presented. %U http://arxiv.org/abs/1405.3687v1