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Via a sub-supersolution method and a perturbation argument, we study the Lane-Emden-Fowler equation $$ -Delta u =p(x)[g(u)+f(u)+| abla u|^q] $$ in $mathbb{R} ^N$ ($Ngeq3$), where $0<q<1$, $p$ is a positive weight such that $int_0^infty rvarphi(r)dr<infty$, where $varphi(r)=max_{|x|=r}p(x)$, $rgeq 0$. Under the hypotheses that both $g$ and $f$ are sublinear, which include no monotonicity on the functions $g(u)$, $f(u)$, $g(u)/u$ and $f(u)/u$, we show the existence of ground state solutions.