Автор | Ghergu, Marius |
Дата выпуска | 2011 |
dc.description | We study the elliptic system −Δu = δ(x)<sup>−a</sup>v<sup>p</sup> in Ω, −Δv = δ(x)<sup>−b</sup>u<sup>q</sup> in Ω, subject to homogeneous Dirichlet boundary conditions. Here, Ω ⊂ ℝ<sup>N</sup>, N ≥ 1, is a smooth and bounded domain, δ(x) = dist(x, ∂Ω), a, b ≥ 0 and p, q ∈ ℝ satisfy pq > −1. The existence, non-existence and uniqueness of solutions are investigated in terms of a, b, p and q. |
Формат | application.pdf |
Издатель | Royal Society of Edinburgh Scotland Foundation |
Копирайт | Copyright © Royal Society of Edinburgh 2011 |
Название | A Lane–Emden system with singular data |
Тип | research-article |
DOI | 10.1017/S0308210510000302 |
Electronic ISSN | 1473-7124 |
Print ISSN | 0308-2105 |
Журнал | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
Том | 141 |
Первая страница | 1279 |
Последняя страница | 1294 |
Аффилиация | Ghergu Marius; University College Dublin |
Выпуск | 6 |