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From Brunn-Minkowski to sharp Sobolev inequalities

Annali di Matematica Pura ed Applicata (2008) 187(3) 369-384
DOI: 10.1007/s10231-007-0047-0
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Abstract

We present a simple direct proof of the classical Sobolev inequality in ℝ with best constant from the geometric Brunn-Minkowski-Lusternik inequality. © 2007 Springer-Verlag.

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Bobkov, S. G., & Ledoux, M. (2008). From Brunn-Minkowski to sharp Sobolev inequalities. Annali Di Matematica Pura Ed Applicata, 187(3), 369–384. https://doi.org/10.1007/s10231-007-0047-0

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