Zhang, Zhijun2021-07-192021-07-192006-08-18Zhang, Z. (2006). Asymptotic behaviour of the solution for the singular Lane-Emden-Fowler equation with nonlinear convection terms. <i>Electronic Journal of Differential Equations, 2006</i>(93), pp. 1-8.1072-6691https://hdl.handle.net/10877/13966We show the exact asymptotic behaviour near the boundary for the classical solution to the Dirichler problem -Δu = k(x)g(u) + λ|∇u|q, u > 0, x ∈ Ω, u|∂Ω = 0, where Ω is a bounded domain with smooth boundary in ℝN. We use the Karamata regular varying theory, a perturbed argument, and constructing comparison functions.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalSemilinear elliptic equationsDirichlet problemSingularityNonlinear convection termsKaramata regular variation theoryUnique solutionExact asymptotic behaviourArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.