Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes Articles

authors

PABLO MARTINEZ, ARTURO DE
Quiros, Fernando
Ritorto, Antonella

published in

Journal of Mathematical Analysis and Applications Journal

publication date

March 2022

issue

1

volume

507

Digital Object Identifier (DOI)

https://doi.org/10.1016/j.jmaa.2021.125742

International Standard Serial Number (ISSN)

1096-0813

abstract

(copyright) 2021 Elsevier Inc.We prove the existence of an extremal function in the Hardy-Littlewood-Sobolev inequality for the energy associated to an stable operator. To this aim we obtain a concentration-compactness principle for stable processes in RN.

subjects

Mathematics

keywords

concentration-compactness principle; α–stable processes; elliptic problems with critical nonlinearities