# Best constant in Sobolev inequality

@article{Talenti1976BestCI,
title={Best constant in Sobolev inequality},
author={Giorgio Talenti},
journal={Annali di Matematica Pura ed Applicata},
year={1976},
volume={110},
pages={353-372}
}
• G. Talenti
• Published 1 December 1976
• Mathematics, Materials Science
• 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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