Ground state solutions for the singular Lane-Emden-Fowler equation with sublinear convection term
| dc.creator | Ghergu, Marius | |
| dc.creator | Radulescu, Vicentiu | |
| dc.date | 2006-10-13 | |
| dc.date.accessioned | 2026-07-07T07:29:03Z | |
| dc.date.available | 2026-07-07T07:29:03Z | |
| dc.description | We are concerned with singular elliptic equations of the form $-Δu= p(x)(g(u)+ f(u)+|\nabla u|^a)$ in $\RR^N$ ($N\geq 3$), where $p$ is a positive weight and $0< a <1$. Under the hypothesis that $f$ is a nondecreasing function with sublinear growth and $g$ is decreasing and unbounded around the origin, we establish the existence of a ground state solution vanishing at infinity. Our arguments rely essentially on the maximum principle. | |
| dc.identifier | https://arxiv.org/abs/math/0610431 | |
| dc.identifier | http://arxiv.org/abs/math/0610431 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117958 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B50, 35J65, 58J55 | |
| dc.title | Ground state solutions for the singular Lane-Emden-Fowler equation with sublinear convection term | |
| dc.type | text |