A free boundary problem in the theory of electrically actuated microdevices

被引：10

作者：

Cimatti, Giovanni ^{[1
]}

机构：

[1] Dipartimento Matemat, Pisa, Italy

来源：

APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 12期

关键词：

microelectromechanical systems; free boundary problems;

D O I：

10.1016/j.aml.2006.07.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Electrostatically deflected elastic systems are increasingly used in technical applications. We study a typical situation as a free boundary problem and prove, under quite general hypotheses, the existence of a local branch of solutions. Hadamard's variational formula is crucial in the proof, which is based on the implicit function theorem in Banach spaces. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1232 / 1236

页数：5

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