Best constant in Sobolev inequality

  title={Best constant in Sobolev inequality},
  author={G. Talenti},
  journal={Annali di Matematica Pura ed Applicata},
  • G. Talenti
  • Published 1976
  • Mathematics
  • Annali di Matematica Pura ed Applicata
SummaryThe 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. 
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