On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case

Nassif Ghoussoub, Yujin Guo

We analyze the nonlinear elliptic problem $\Delta u=\frac{\lambda f(x)}{(1+u{)}^2}$ on a bounded domain $\Omega$ of ${\mathbb{R}}^N$ with Dirichlet boundary conditions. This equation models a simple electrostat…