Nonradial blow-up solutions of sublinear elliptic equations with gradient term
| dc.creator | Ghergu, Marius | |
| dc.creator | Radulescu, Vicentiu | |
| dc.date | 2005-02-07 | |
| dc.date.accessioned | 2026-07-07T05:16:46Z | |
| dc.date.available | 2026-07-07T05:16:46Z | |
| dc.description | Let $f$ be a continuous and non-decreasing function such that $f>0$ on $(0,\infty)$, $f(0)=0$, $\sup \_{s\geq 1}f(s)/s< \infty$ and let $p$ be a non-negative continuous function. We study the existence and nonexistence of explosive solutions to the equation $Δu+|\nabla u|=p(x)f(u)$ in $Ω,$ where $Ω$ is either a smooth bounded domain or $Ω=\RR^N$. If $Ω$ is bounded we prove that the above problem has never a blow-up boundary solution. Since $f$ does not satisfy the Keller-Osserman growth condition at infinity, we supply in the case $Ω=\RR^N$ a necessary and sufficient condition for the existence of a positive solution that blows up at infinity. | |
| dc.identifier | https://arxiv.org/abs/math/0502143 | |
| dc.identifier | http://arxiv.org/abs/math/0502143 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74113 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Nonradial blow-up solutions of sublinear elliptic equations with gradient term | |
| dc.type | text |