Semipositone elliptic equations in unbounded domains in \(\mathbb{R}^{n}\)

We investigate a class of semipositone nonlinear elliptic boundary value problems in unbounded domains D of ${\mathbb{R}}^n$ $\mathbb{R}^{n}$ , $n\ge 3$ $n\geq 3$ . Under some mild-assumptions, we obtain the existence of a unique positive continuous solution and provide information about its global behavior.