Xue, HongtaoZhang, Zhijun2021-08-052021-08-052007-04-10Xue, H., & Zhang, Z. (2007). A remark on ground state solutions for Lane-Emden-Fowler equations with a convection term. <i>Electronic Journal of Differential Equations, 2007</i>(53), pp. 1-10.1072-6691https://hdl.handle.net/10877/14214Via a sub-supersolution method and a perturbation argument, we study the Lane-Emden-Fowler equation -Δu = p(x) [g(u) + ƒ(u) + |∇u|q] in ℝN (N ≥ 3), where 0 < q < 1, p is a positive weight such that ∫∞0 rφ(r)dr < ƒ are sublinear, which include no monotonicity on the functions g(u), ƒ(u), g(u)/u and ƒ(u)/u, we show the existence of ground state solutions.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalGround state solutionLane-Emden-Fowler equationConvection termMaximum principleExistenceSub-solutionSuper-solutionArticle