On Geometric Estimates for Some Problems Arising from Modeling Pull-in Voltage in MEMS

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper, we prove that the pull-in voltage of the multidimensional MEMS (micro-electro mechanical systems) problem on the whole space ℝd,d≥3, is minimized by symmetrizing the permittivity profile. The proof relies on Talenti’s comparison principle.

Original languageEnglish
Title of host publicationTrends in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages189-197
Number of pages9
DOIs
Publication statusPublished - 2024

Publication series

NameTrends in Mathematics
Volume3
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Keywords

  • Geometric estimate
  • MEMS problem
  • Newton potential
  • Pull-in voltage
  • Talenti’s comparison principle

ASJC Scopus subject areas

  • General Mathematics

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