Abstract
The nonlinear non-local elliptic equation governing the deflection of charged plates in electrostatic actuators is studied under the pinned and the clamped boundary conditions. Results concerning the existence, construction and approximation, and behaviour of classical and singular solutions with respect to the variation of physical parameters of the equation in various situations are presented.
Original language | English (US) |
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Pages (from-to) | 1323-1337 |
Number of pages | 15 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 463 |
Issue number | 2081 |
DOIs | |
State | Published - May 8 2007 |
Keywords
- Electrostatic actuation
- Nonlinear methods
- Singularities
ASJC Scopus subject areas
- General Mathematics
- General Engineering
- General Physics and Astronomy