Bachar, ImedMaagli, HabibZribi, Malek2021-05-242021-05-242005-04-14Bachar, I., Mâagli, H., & Zribi, M. (2005). Existence of positive solutions to nonlinear elliptic problem in the half space. <i>Electronic Journal of Differential Equations, 2005</i>(44), pp. 1-16.1072-6691https://hdl.handle.net/10877/13628This paper concerns nonlinear elliptic equations in the half space ℝn+ := {x = (x' , xn) ∈ ℝn : xn > 0}, n ≥ 2, with a nonlinear term satisfying some conditions related to a certain Kato class of functions. We prove some existence results and asymptotic behaviour for positive solutions using a potential theory approach.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalGreen functionElliptic equationPositive solutionsArticle