Abstract
We study the electrostatic MEMS-device equation, \(u_{t} -\Delta u = \frac{\lambda |x|^{\beta}}{(1-u)^{p}}\), with Dirichlet boundary condition. First, we describe the touchdown of non-stationary solution in accordance with the total set of stationary solutions. Then, we classify radially symmetric stationary solutions and their radial Morse indices. Finally, we show the Morse-Smale property for radially symmetric non-stationary solutions.
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