Nonlinear non-local elliptic equation modelling electrostatic actuation

被引：85
|
作者：
Lin, Fanghua
Yang, Yisong
机构：
[1] Polytech Univ, Dept Math, Brooklyn, NY 11201 USA
[2] NYU, Courant Inst Math Sci, New York, NY 10021 USA
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2007年 / 463卷 / 2081期
关键词：
electrostatic actuation; singularities; nonlinear methods;
D O I：
10.1098/rspa.2007.1816
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
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页码：1323 / 1337
页数：15
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