Positive Solutions of Nonlinear Elliptic Equations in a Half Space in R2

Date

2002-05-16

Authors

Bachar, Imed
Maagli, Habib
Maatoug, Lamia

Journal Title

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

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.

Description

Keywords

Singular elliptic equation, Superharmonic function, Green function, Schauder fixed point theorem, Maximum principle

Citation

Bachar, I., Maagli, H., & Maatoug, L. (2002). Positive solutions of nonlinear elliptic equations in a half space in R2. <i>Electronic Journal of Differential Equations, 2002</i>(41), pp. 1-24.

Rights

Attribution 4.0 International

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