Via a sub-supersolution method and a perturbation argument, we study the Lane-Emden-Fowler equation −∆u = p(x)[g(u) + f(u) + |∇u| ] in RN (N ≥ 3), where 0 < q < 1, p is a positive weight such that R∞ 0 rφ(r)dr < ∞, where φ(r) = max|x|=r p(x), r ≥ 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 exi...

We consider a class of second-order Emden-Fowler equations with positive and nonpositve neutral coefficients. By using the Riccati transformation and inequalities, several oscillation and asymptotic results are established. Some examples are given to illustrate the main results.