Impacto
Downloads
Downloads per month over past year
Herrero, Miguel A. and Velázquez, J.J. L. (1991) Radial solutions of a semilinear elliptic problem. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 118 (3-4). pp. 305-326. ISSN 0308-2105
![[thumbnail of Herrero48.pdf]](/style/images/fileicons/application_pdf.png) Preview |
PDF
886kB |
Official URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8244935
Abstract
We analyse the set of nonnegative, global, and radial solutions (radial solutions, for short) of the equation -Δu + u(p) = f in R(N), N ≥ 1, where 0 < p < 1, and f element-of L(loc)1(R(N)) is a radial and almost everywhere nonnegative function. We show that radial solutions of (E) exist if f(r) = o(r2p/1-p) or if f(r) ≈ cr2p/1-p as r --> ∞, where [GRAPHICS] When f(r) = c*r2p/1-p + h(r) with h(r) = o(r2p/1-p) as r --> ∞, radial solutions continue to exist if h(r) is sufficiently small at infinity. Existence, however, breaks down if h(r) > 0, [GRAPHICS] Whenever they exist, radial solutions are characterised in terms of their asymptotic behaviour as r --> ∞.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Equation; RN; set of nonnegative; global and radial solutions |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 17132 |
| Deposited On: | 20 Nov 2012 12:41 |
| Last Modified: | 12 Dec 2018 15:08 |
Origin of downloads
Repository Staff Only: item control page
