论文标题

非本地四阶椭圆障碍问题的固定解决方案

Stationary solutions to a nonlocal fourth-order elliptic obstacle problem

论文作者

Laurençot, Philippe, Walker, Christoph

论文摘要

显示了具有异质介电特性的微电机械系统建模引起的非局部四阶椭圆障碍问题的固定解决方案。利用模型的基本变化结构来构建这些解决方案作为适当正则化能量的最小化,这使我们能够大大削弱上一篇文章中使用的模型的假设。

Existence of stationary solutions to a nonlocal fourth-order elliptic obstacle problem arising from the modelling of microelectromechanical systems with heterogeneous dielectric properties is shown. The underlying variational structure of the model is exploited to construct these solutions as minimizers of a suitably regularized energy, which allows us to weaken considerably the assumptions on the model used in a previous article.

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