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

Journal ISSN

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. Electronic Journal of Differential Equations, 2002(41), pp. 1-24.

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Attribution 4.0 International

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