%0 Journal Article
%T Positive solutions of some elliptic differential equations with oscillating nonlinearity
%A Fahd Jarad
%A Octavian G. Mustafa
%A Donal O'Regan
%J Mathematics
%D 2010
%I arXiv
%X We discuss the occurrence of positive solutions which decay to 0 as $| x|\to+\infty$ to the differential equation $\Delta u+f(x,u)+g(| x|)x\cdot\nabla u=0$, $| x|>R>0$, $x\in\mathbb{R}^{n}$, where $n\geq 3$, $g$ is nonnegative valued and $f$ has alternating sign, by means of the comparison method. Our results complement several recent contributions from [M. Ehrnstr\"{o}m, O.G. Mustafa, On positive solutions of a class of nonlinear elliptic equations, Nonlinear Anal. TMA 67 (2007), 1147--1154].
%U http://arxiv.org/abs/1001.0933v1