Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in exterior domains
| dc.contributor.author | Maagli, Habib | |
| dc.contributor.author | Alzahrani, Abdulah Khamis | |
| dc.contributor.author | Zine El Abidine, Zagharide | |
| dc.date.accessioned | 2022-02-16T17:58:48Z | |
| dc.date.available | 2022-02-16T17:58:48Z | |
| dc.date.issued | 2018-07-01 | |
| dc.description.abstract | In this article, we study the existence, uniqueness and the asymptotic behavior of a positive classical solution to the semilinear boundary-value problem -∆u = α(x)uσ in D, u|∂D = 0, lim|x|→∞ u(x) = 0. Here D is an unbounded regular domain in ℝn (n ≥ 3) with compact boundary, σ < 1 and the function α is a nonnegative function in C γ loc (D), 0 < γ < 1, satisfying an appropriate assumption related to Karamata regular variation theory. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Mâagli, H., Alzahrani, A. K., & Zine El Abidine, Z. (2018). Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in exterior domains. <i>Electronic Journal of Differential Equations, 2018</i>(137), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15337 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Positive solutions | |
| dc.subject | Asymptotic behavior | |
| dc.subject | Dirichlet problem | |
| dc.subject | Subsolution | |
| dc.subject | Supersolution | |
| dc.title | Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in exterior domains | |
| dc.type | Article |