Positive Solutions of Nonlinear Elliptic Equations in a Half Space in R2
Abstract
We study the existence and the asymptotic behaviour of positive solutions of the nonlinear equation Δu + ƒ(., u) = 0, in the domain D = {(x1, x2) ∈ ℝ2 : x2 > 0}, with u = 0 on the boundary. The aim is to prove some existence results for the above equation in a general setting by using a fixed-point argument.
Citation
Bachar, I., Maagli, H., & Maatoug, L. (2002). Positive solutions of nonlinear elliptic equations in a half space in R2. Electronic Journal of Differential Equations, 2002(41), pp. 1-24.Rights License
This work is licensed under a Creative Commons Attribution 4.0 International License.
