Calculus of Variations and Geometric Measure Theory

L. Brasco - S. J. N. Mosconi - M. Squassina

Optimal decay of extremals for the fractional Sobolev inequality

created by brasco on 02 Aug 2015
modified on 11 Nov 2026

[BibTeX]

Accepted Paper
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Inserted: 2 aug 2015
Last Updated: 11 nov 2026

Journal: Calc. Var. Partial Differential Equations
Pages: 30
Year: 2015

Abstract:

We obtain the sharp asymptotic behavior at infinity of extremal functions for the fractional critical Sobolev embedding.

Keywords: Fractional $p-$Laplacian, critical Sobolev embedding, extremals, decay


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