Maagli, HabibAlzahrani, Abdulah KhamisZine El Abidine, Zagharide2022-02-162022-02-162018-07-01Mâagli, H., Alzahrani, A. K., & Zine El Abidine, Z. (2018). Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in exterior domains. <i>Electronic Journal of Differential Equations, 2018</i>(137), pp. 1-14.1072-6691https://hdl.handle.net/10877/15337In this article, we study the existence, uniqueness and the asymptotic behavior of a positive classical solution to the semilinear boundary-value problem -∆u = α(x)uσ in D, u|∂D = 0, lim|x|→∞ u(x) = 0. Here D is an unbounded regular domain in ℝn (n ≥ 3) with compact boundary, σ < 1 and the function α is a nonnegative function in C γ loc (D), 0 < γ < 1, satisfying an appropriate assumption related to Karamata regular variation theory.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalPositive solutionsAsymptotic behaviorDirichlet problemSubsolutionSupersolutionArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.