Consequences of Talenti's inequality becoming equality

Behrouz Emamizadeh*, Mohsen Zivari-Rezapour

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, we consider the case of equality in a well known inequality for the p-Laplacian due to Giorgio Talenti. Our approach seems to be simpler than the one by Kesavan [6]. We use a result from rearrangement optimization to prove the main result in this article. Some physical interpretations are also presented.

Original languageEnglish
JournalElectronic Journal of Differential Equations
Volume2011
Publication statusPublished - 2011

Keywords

  • Elastic membrane
  • P-Laplacian operator
  • Rearrangement maximization
  • References
  • Talenti's inequality
  • Unique optimal solution

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