Summary
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.
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Entrata in Redazione il 16 luglio 1975.
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Talenti, G. Best constant in Sobolev inequality. Annali di Matematica 110, 353–372 (1976). https://doi.org/10.1007/BF02418013
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DOI: https://doi.org/10.1007/BF02418013