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 09 Feb 2016


Accepted Paper

Inserted: 2 aug 2015
Last Updated: 9 feb 2016

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


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