On semi-linear elliptic equation arising from micro-electromechanical systems with contacting elastic membrane
On semi-linear elliptic equation arising from micro-electromechanical systems with contacting elastic membrane
复制标题
弹性膜接触微机电系统半线性椭圆方程的研究
DOI：
10.1002/zamm.201700333
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
F.Zhou
中科院分区：
文献类型：
--
作者：
H.Y.Chen;Y.Wang;F.Zhou
研究具有Dirichlet边界条件的有界区域Ω上的非线性椭圆型问题。当弹性膜与边界上的接地板接触时，微机电系统设备就会出现这个问题。我们分析了该方程的最小解的性质，当函数满足若干和时。我们的结果显示了膜的边界衰减如何对溶液和拉入电压λ起作用。
This paper is concerned with the nonlinear elliptic problem in a bounded domain Ω of with Dirichlet boundary conditions. This problem arises from Micro‐Electromechanical Systems devices in the case that the elastic membrane contacts the ground plate on the boundary. We analyze the properties of minimal solutions to this equation when and the function satisfying for some and . Our results show how the boundary decay of the membrane works on the solutions and pull‐in voltage λ.