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Existence of positive solutions of quasilinear elliptic equations. (English) Zbl 0878.35040
Summary: We prove under quite general assumptions the existence of a positive solution to the equation $$\Delta u+f(x,u) +g(x)x$$ $$\nabla u=0$$ in exterior domains of $$\mathbb{R}^n (n\geq 3)$$.

##### MSC:
 35J60 Nonlinear elliptic equations 34A34 Nonlinear ordinary differential equations and systems