Pseudo-radial solutions of semi-linear elliptic equations on symmetric domains
| dc.creator | Soufi, Ahmad El | |
| dc.creator | Jazar, Mustapha | |
| dc.date | 2008-06-07 | |
| dc.date.accessioned | 2026-07-07T12:19:23Z | |
| dc.date.available | 2026-07-07T12:19:23Z | |
| dc.description | In this paper we investigate existence and characterization of non-radial pseudo-radial (or separable) solutions of some semi-linear elliptic equations on symmetric 2-dimensional domains. The problem reduces to the phase plane analysis of a dynamical system. In particular, we give a full description of the set of pseudo-radial solutions of equations of the form $Δu = \pm a^2(|x|) u|u|^{q-1}$, with $q>0$, $q\neq 1$. We also study such equations over spherical or hyperbolic symmetric domains. | |
| dc.identifier | https://arxiv.org/abs/0806.1266 | |
| dc.identifier | http://arxiv.org/abs/0806.1266 | |
| dc.identifier | Differential and integral equations 21, 7-8 (2008) 601 -- 622 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212732 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60, 58J05, 34D05 | |
| dc.title | Pseudo-radial solutions of semi-linear elliptic equations on symmetric domains | |
| dc.type | text |