Applications of a weighted symmetrization inequality to elastic membranes and plates

Research output: Journal PublicationArticlepeer-review

2 Citations (Scopus)

Abstract

This paper is devoted to some applications of a weighted symmetrization inequality related to a second order boundary value problem. We first interpret the inequality in the context of elastic membranes, and observe that it lends itself to make a comparison between the deflection of a membrane with a varying density with that of a membrane with a uniform density. Some mathematical consequences of the inequality including a stability result are presented. Moreover, a similar inequality where the underlying differential equation is of fourth order is also discussed.

Original languageEnglish
Article number808693
JournalJournal of Inequalities and Applications
Volume2010
DOIs
Publication statusPublished - 2010
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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