On the Uniqueness of Positive Solutions of a Quasilinear Equation Containing a Weighted p-Laplacian, the Superlinear Case
| dc.creator | Garcia-Huidobro, Marta | |
| dc.creator | Henao, Duvan | |
| dc.date | 2006-08-08 | |
| dc.date.accessioned | 2026-07-07T07:21:31Z | |
| dc.date.available | 2026-07-07T07:21:31Z | |
| dc.description | We consider the problem of uniqueness of positive solutions to boundary value problems containing the equation: -Δ_p u =K(|x|)f(u), p>1. f is positive, is locally Lipschitz and satisfies some superlinear growth condition after u_0, a zero of f before which it is non positive and not identically 0. We show that the Sturmnian theory arguments used by Coffman and Kwong are valid for the equation containing the p-Laplacian operator, even though they were thought to be unextendable beyond the semilinear equation. We obtain a monotone separation result which finally yields the desired uniqueness results. | |
| dc.description | 23 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0608189 | |
| dc.identifier | http://arxiv.org/abs/math/0608189 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115325 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 35J25, 35B05 | |
| dc.title | On the Uniqueness of Positive Solutions of a Quasilinear Equation Containing a Weighted p-Laplacian, the Superlinear Case | |
| dc.type | text |