On Regions of Existence and Nonexistence of solutions for a System of $p$-$q$-Laplacians
| dc.creator | Clement, Philippe | |
| dc.creator | Garcia-Huidobro, Marta | |
| dc.creator | Guerra, Ignacio | |
| dc.creator | Manasevich, Raul | |
| dc.date | 2006-05-11 | |
| dc.date.accessioned | 2026-07-07T07:14:07Z | |
| dc.date.available | 2026-07-07T07:14:07Z | |
| dc.description | We give a new region of existence of solutions to the superhomogeneous Dirichlet problem $$ \quad \begin{array}{l} -Δ_{p} u= v^δ\quad v>0\quad {in}\quad B,\cr -Δ_{q} v = u^μ\quad u>0\quad {in}\quad B, \cr u=v=0 \quad {on}\quad \partial B, \end{array}\leqno{(S_R)} $$ where $B$ is the ball of radius $R>0$ centered at the origin in $\RR^N.$ Here $δ, μ>0$ and $ Δ_{m} u={\rm div}(|\nabla u|^{m-2}\nabla u) $ is the $m-$Laplacian operator for $m>1$. | |
| dc.description | 17 pages, accepted in Asymptotic Analysis | |
| dc.identifier | https://arxiv.org/abs/math/0605284 | |
| dc.identifier | http://arxiv.org/abs/math/0605284 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112741 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60 35J70 35B33 | |
| dc.title | On Regions of Existence and Nonexistence of solutions for a System of $p$-$q$-Laplacians | |
| dc.type | text |