Nonlinear problems with boundary blow-up: a Karamata regular variation theory approach
| dc.creator | Cirstea, Florica Corina | |
| dc.creator | Radulescu, Vicentiu | |
| dc.date | 2005-06-07 | |
| dc.date.accessioned | 2026-07-07T05:20:35Z | |
| dc.date.available | 2026-07-07T05:20:35Z | |
| dc.description | We study the uniqueness and expansion properties of the positive solution of the logistic equation $Δu+au=b(x)f(u)$ in a smooth bounded domain $Ω$, subject to the singular boundary condition $u=+\infty$ on $\partialΩ$. The absorption term $f$ is a positive function satisfying the Keller--Osserman condition and such that the mapping $f(u)/u$ is increasing on $(0,+\infty)$. We assume that $b$ is non-negative, while the values of the real parameter $a$ are related to an appropriate semilinear eigenvalue problem. Our analysis is based on the Karamata regular variation theory. | |
| dc.identifier | https://arxiv.org/abs/math/0506122 | |
| dc.identifier | http://arxiv.org/abs/math/0506122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75427 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Nonlinear problems with boundary blow-up: a Karamata regular variation theory approach | |
| dc.type | text |