Annali di Matematica Pura ed Applicata

, Volume 110, Issue 1, pp 353–372 | Cite as

Best constant in Sobolev inequality

  • Giorgio Talenti


The best constant for the simplest Sobolev inequality is exhibited. The proof is accomplished by symmetrizations (rearrangements in the sense of Hardy-Littlewood) and one-dimensional calculus of variations.


Sobolev Inequality Good Constant 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1975

Authors and Affiliations

  • Giorgio Talenti
    • 1
  1. 1.Firenze

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