Maximal Solutions of Semilinear Elliptic Equations with Locally Integrable Forcing Term
| dc.creator | Marcus, Moshe | |
| dc.creator | Veron, Laurent | |
| dc.date | 2008-05-16 | |
| dc.date.accessioned | 2026-07-07T12:18:59Z | |
| dc.date.available | 2026-07-07T12:18:59Z | |
| dc.description | We study the existence of a maximal solution of $-\Gd u+g(u)=f(x)$ in a domain $\Gw\subset \BBR^N$ with compact boundary, assuming that $f\in (L^1_{loc}(\Gw))_+$ and that $g$ is nondecreasing, $g(0)\geq 0$ and $g$ satisfies the Keller-Osserman condition. We show that if the boundary satisfies the classical $C_{1,2}$ Wiener criterion then the maximal solution is a large solution, i.e., it blows up everywhere on the boundary. In addition we discuss the question of uniqueness of large solutions. | |
| dc.identifier | https://arxiv.org/abs/0805.2529 | |
| dc.identifier | http://arxiv.org/abs/0805.2529 | |
| dc.identifier | Israël Journal of Mathematics, 152 (2006) 333-348 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212599 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60 | |
| dc.title | Maximal Solutions of Semilinear Elliptic Equations with Locally Integrable Forcing Term | |
| dc.type | text |