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.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 24 pages | |
| dc.format.medium | 1 file (.pdf) | |
| 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12315 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| 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 | |
| dc.subject | Superharmonic function | |
| dc.subject | Green function | |
| dc.subject | Schauder fixed point theorem | |
| dc.subject | Maximum principle | |
| dc.title | Positive Solutions of Nonlinear Elliptic Equations in a Half Space in R2 | |
| dc.type | Article |