Singular elliptic problems with convection term in anisotropic media
| dc.creator | Dupaigne, Louis | |
| dc.creator | Ghergu, Marius | |
| dc.creator | Radulescu, Vicentiu | |
| dc.date | 2006-06-07 | |
| dc.date.accessioned | 2026-07-07T07:17:02Z | |
| dc.date.available | 2026-07-07T07:17:02Z | |
| dc.description | We are concerned with singular elliptic problems of the form $-Δu\pm p(d(x))g(u)=\la f(x,u)+μ|\nabla u|^a$ in $Ω,$ where $Ω$ is a smooth bounded domain in $\RR^N$, $d(x)={\rm dist}(x,\partialΩ),$ $\la>0,$ $μ\in\RR$, $0<a\leq 2$, and $f,k$ are nonnegative and nondecreasing functions. We assume that $p(d(x))$ is a positive weight with possible singular behavior on the boundary of $Ω$ and that the nonlinearity $g$ is unbounded around the origin. Taking into account the competition between the anisotropic potential $p(d(x))$, the convection term $|\nabla u|^a$, and the singular nonlinearity $g$, we establish various existence and nonexistence results. | |
| dc.identifier | https://arxiv.org/abs/math/0606165 | |
| dc.identifier | http://arxiv.org/abs/math/0606165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113800 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B50, 35J65, 58J55 | |
| dc.title | Singular elliptic problems with convection term in anisotropic media | |
| dc.type | text |