Consequences of Talenti's inequality becoming equality

Behrouz Emamizadeh, Mohsen Zivari-Rezapour

Research output: Journal PublicationArticlepeer-review


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
Publication statusPublished - 2011
Externally publishedYes


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

ASJC Scopus subject areas

  • Analysis


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