Existence of weak solutions for nonlinear elliptic systems involving the (p(x), q(x))-Laplacian
| dc.creator | Hsini, Mounir | |
| dc.date | 2009-02-15 | |
| dc.date.accessioned | 2026-07-07T12:42:08Z | |
| dc.date.available | 2026-07-07T12:42:08Z | |
| dc.description | In this paper, we prove the existence of weak solutions for the following nonlinear elliptic system {lll} -Δ_{p(x)}u = a(x)|u|^{p(x)-2}u - b(x)|u|^{α(x)}|v|^{β(x)} v + f(x) in Ω, Δ_{q(x)}v = c(x) |v|^{q(x)-2}v - d(x)|v|^{β(x)}|u|^{α(x)} u + g(x) in Ω, u = v = 0 \quad on \partialΩ, where $Ω$ is an open bounded domains of $\mathbb{R}^N$ with a smooth boundary $\partialΩ$ and $Δ_{p(x)}$ denotes the $p(x)$-Laplacian.The existence of weak solutions is proved using the theory of monotone operators. Similar result will be proved when $Ω=\mathbb{R}^N$. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/0902.2507 | |
| dc.identifier | http://arxiv.org/abs/0902.2507 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219971 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35B45; 35J55 | |
| dc.title | Existence of weak solutions for nonlinear elliptic systems involving the (p(x), q(x))-Laplacian | |
| dc.type | text |