Szczegóły publikacji
Opis bibliograficzny
Singular solutions of a nonlinear elliptic equation in a punctured domain / Imed Bachar, Habib Mâagli, Vicenţiu D. RĂDULESCU // Electronic Journal of Qualitative Theory of Differential Equations [Dokument elektroniczny]. — Czasopismo elektroniczne ; ISSN 1417-3875. — 2017 — [art. no.] 94, s. 1–19. — Wymagania systemowe: Adobe Reader. — Bibliogr. s. 17–19, Abstr. — V. D. Rădulescu – dod. afiliacja: Romanian Academy
Autorzy (3)
- Bachar Imed
- Mâagli Habib
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 117118 |
|---|---|
| Data dodania do BaDAP | 2018-10-12 |
| Tekst źródłowy | URL |
| DOI | 10.14232/ejqtde.2017.1.94 |
| Rok publikacji | 2017 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Electronic Journal of Qualitative Theory of Differential Equations |
Abstract
We consider the following semilinear problem {-Delta u (x) = a (x) u(sigma) (x), x is an element of Omega\{0} (in the distributional sense), u > 0, in Omega\{0}, lim(vertical bar x vertical bar -> 0) vertical bar x vertical bar(n-2) u (x) = 0, u (x) - 0, x is an element of partial derivative Omega, where sigma < 1, Omega is a bounded regular domain in R-n (n >= 3) containing 0 and a is a positive continuous function in Omega\{0}, which may be singular at x = 0 and/or at the boundary partial derivative Omega. When the weight function a ( x) satisfies suitable assumption related to Karamata class, we prove the existence of a positive continuous solution on <(Omega)over bar>\{0}, which could blow-up at the origin. The global asymptotic behavior of this solution is also obtained.
