Optimal decay of extremals for the fractional Sobolev inequality

Lorenzo Brasco (1, 2) , Sunra Mosconi (3) , Marco Squassina (3)

1 I2M - Institut de Mathématiques de Marseille
2 DMCS - Dipartimento di Matematica e Informatica = Department of Mathematics and Computer Science [Ferrara]
3 UNIVR | DI - Department of Computer Science [Verona]

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

Mots clés: Fractional $p-$Laplacian; critical Sobolev embedding; extremals; decay

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]; Analyse fonctionnelle [math.FA]

Lorenzo Brasco, Sunra Mosconi, Marco Squassina. Optimal decay of extremals for the fractional Sobolev inequality. Calculus of Variations and Partial Differential Equations, 2016, 55, ⟨10.1007/s00526-016-0958-y⟩. ⟨hal-01184882⟩