Abstract
We show among other things, that for small voltage, the stable solution of the basic nonlinear eigenvalue problem modelling a simple electrostatic MEMS is actually the unique solution, provided the domain is star-shaped and the dimension is larger or equal than 3. In two dimensions, we need the domain to be either strictly convex or symmetric. The case of a power permittivity profile is also considered. Our results, which use an approach developed by Schaaf, extend and simplify recent results by Guo and Wei.
Citation
Pierpaolo Esposito. Nassif Ghoussoub. "Uniqueness of Solutions for an Elliptic Equation Modeling MEMS." Methods Appl. Anal. 15 (3) 341 - 354, September 2008.
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