Boundary blow-up in nonlinear elliptic equations of Bieberbach--Rademacher type
| 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 establish the uniqueness of the positive solution for equations of the form $-Δu=au-b(x)f(u)$ in $Ω$, $u|\_{\partialΩ}=\infty$. The special feature is to consider nonlinearities $f$ whose variation at infinity is \emph{not regular} (e.g., $\exp(u)-1$, $\sinh(u)$, $\cosh(u)-1$, $\exp(u)\log(u+1)$, $u^β\exp(u^γ)$, $β\in {\mathbb R}$, $γ>0$ or $\exp(\exp(u))-e$) and functions $b\geq 0$ in $Ω$ vanishing on $\partialΩ$. The main innovation consists of using Karamata's theory not only in the statement/proof of the main result but also to link the non-regular variation of $f$ at infinity with the blow-up rate of the solution near $\partialΩ$. | |
| dc.identifier | https://arxiv.org/abs/math/0506121 | |
| dc.identifier | http://arxiv.org/abs/math/0506121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75426 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Boundary blow-up in nonlinear elliptic equations of Bieberbach--Rademacher type | |
| dc.type | text |