Sharp Morrey-Sobolev inequalities and the distance from extremals

Cianchi, Andrea

doi:10.1090/S0002-9947-08-04491-7

Sharp Morrey-Sobolev inequalities and the distance from extremals
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Trans. Amer. Math. Soc. 360 (2008), 4335-4347 Request permission

Abstract:

Quantitative versions of sharp estimates for the supremum of Sobolev functions in $W^{1,p}(\mathbb {R}^n)$, $p>n$, with remainder terms depending on the distance from the families of extremals, are established.

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