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 [13], extend and simplify recent results by Guo and Wei [7], [8].

Esposito, P., Ghoussoub, N. (2008). Uniqueness of solutions for an elliptic equation modeling MEMS. METHODS AND APPLICATIONS OF ANALYSIS, 15(3), 341-354.

Uniqueness of solutions for an elliptic equation modeling MEMS

ESPOSITO, PIERPAOLO;
2008-01-01

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 [13], extend and simplify recent results by Guo and Wei [7], [8].
2008
Esposito, P., Ghoussoub, N. (2008). Uniqueness of solutions for an elliptic equation modeling MEMS. METHODS AND APPLICATIONS OF ANALYSIS, 15(3), 341-354.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/150222
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