Positive solutions of some elliptic differential equations with oscillating nonlinearity

Fahd Jarad, Octavian G. Mustafa, Donal O'Regan

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}^{…