Existence and nonexistence of solutions for a singular $p$-Laplacian Dirichlet problem
| dc.creator | Hesaaraki, Mahmoud | |
| dc.creator | Moameni, Abbas | |
| dc.date | 2006-09-08 | |
| dc.date.accessioned | 2026-07-07T07:24:40Z | |
| dc.date.available | 2026-07-07T07:24:40Z | |
| dc.description | We study the existence of positive radially symmetric solution for the singular $p$-Laplacian Dirichlet problem, $-\bigtriangleup_p u =λ|u|^{p-2} u-γu^{-α}$ where $λ>0,γ>0$ and, $0<α<1$, are parameters and $Ω$, the domain of the equation, is a ball in $\mathbb{R}^N$. By using some variational methods we show that, if $λ$ is contained in some interval, then the problem has a radially symmetric positive solution on the ball. Moreover, we obtain a nonexistence result, whenever $λ\leq 0, γ<0$ and $Ω$ is a bounded domain, with smooth boundary. | |
| dc.identifier | https://arxiv.org/abs/math/0609247 | |
| dc.identifier | http://arxiv.org/abs/math/0609247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116444 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J25 | |
| dc.title | Existence and nonexistence of solutions for a singular $p$-Laplacian Dirichlet problem | |
| dc.type | text |