Correlation between two quasilinear elliptic problems with a source term involving the function or its gradient
| dc.creator | Abdelhamid, Haydar | |
| dc.creator | Bidaut-Véron, Marie-Françoise | |
| dc.date | 2008-10-06 | |
| dc.date | 2008-11-20 | |
| dc.date.accessioned | 2026-07-07T10:19:22Z | |
| dc.date.available | 2026-07-07T10:19:22Z | |
| dc.description | Thanks to a change of unknown we compare two elliptic quasilinear problems with Dirichlet data in a bounded domain of $\mathbb{R}^{N}.$ The first one, of the form $-Δ_{p}u=β(u)| \nabla u| ^{p}+λf(x),$ where $β$ is nonnegative, involves a gradient term with natural growth. The second one, of the form $-Δ_{p}v=λf(x)(1+g(v))^{p-1}$ where $g$ is nondecreasing, presents a source term of order 0. The correlation gives new results of existence, nonexistence and multiplicity for the two problems. | |
| dc.identifier | https://arxiv.org/abs/0810.0897 | |
| dc.identifier | http://arxiv.org/abs/0810.0897 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174483 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60, 35J70 | |
| dc.title | Correlation between two quasilinear elliptic problems with a source term involving the function or its gradient | |
| dc.type | text |