Positive Solutions of Nonlinear Elliptic Equations in a Half Space in R2
dc.contributor.author | Bachar, Imed ( ![]() | |
dc.contributor.author | Maagli, Habib ( ) | |
dc.contributor.author | Maatoug, Lamia ( ) | |
dc.date.accessioned | 2020-08-05T19:58:00Z | |
dc.date.available | 2020-08-05T19:58:00Z | |
dc.date.issued | 2002-05-16 | |
dc.identifier.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. | en_US |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/12315 | |
dc.description.abstract | We study the existence and the asymptotic behaviour of positive solutions of the nonlinear equation Δu + f(.,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. | en_US |
dc.format | Text | |
dc.format.extent | 24 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.language.iso | en_US | en_US |
dc.publisher | Texas State University, Department of Mathematics | en_US |
dc.source | Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Singular elliptic equation | en_US |
dc.subject | Superharmonic function | en_US |
dc.subject | Green function | en_US |
dc.subject | Schauder fixed point theorem | en_US |
dc.subject | Maximum principle | en_US |
dc.title | Positive Solutions of Nonlinear Elliptic Equations in a Half Space in R2 | en_US |
txstate.documenttype | Article | |
dc.rights.license | ![]() This work is licensed under a Creative Commons Attribution 4.0 International License. |