Nonlinear non-local elliptic equation modelling electrostatic actuation

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)1323-1337
Number of pages15
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2081
StatePublished - May 8 2007


  • Electrostatic actuation
  • Nonlinear methods
  • Singularities

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering
  • General Physics and Astronomy


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