Uniqueness of solutions for an elliptic equation modeling MEMS
| dc.creator | Ghoussoub, Nassif | |
| dc.creator | Esposito, Pierpaolo | |
| dc.date | 2008-10-07 | |
| dc.date.accessioned | 2026-07-07T10:08:10Z | |
| dc.date.available | 2026-07-07T10:08:10Z | |
| dc.description | We study the effect of the parameter $λ$, the dimension $N$, the profile $f$ and the geometry of the domain $Ω\subset\mathbb{R}^N$, on the question of uniqueness of the solutions to the following elliptic boundary value problem with a singular nonlinearity: $$ 180pt {{array}{ll} -Δu= \frac{λf(x)}{(1-u)^2} & \hbox{in}Ω0<u<1 &\hbox{in}Ωu=0 &\hbox{on}\partial Ω. {array}. 130pt (S)_{λ, f} $$ This equation has been proposed as a model for a simple electrostatic Micro-Electromechanical System (MEMS) device consisting of a thin dielectric elastic membrane with boundary supported at 0 below a rigid ground plate located at height z = 1. | |
| dc.description | 11 pages. Updated versions --if any-- of this author's papers can be downloaded at http://www.birs.ca/~nassif/ | |
| dc.identifier | https://arxiv.org/abs/0810.1257 | |
| dc.identifier | http://arxiv.org/abs/0810.1257 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170901 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Uniqueness of solutions for an elliptic equation modeling MEMS | |
| dc.type | text |